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Cancellation
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities= .
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y + z) is one term,<= /div>
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3, 
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3,  x,  y, 
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3,  x,  y,  yz, x2, yx2,  ...
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3,  x,  y,  yz, x2, yx2,  ...
b. x(y + z) has two factors, x and (y + z).
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3,  x,  y,  yz, x2, yx2,  ...
b. x(y + z) has two factors, x and (y + z).
P
Q
Given a fraction     &nb= sp; , common factor of P and Q may
be cancel= ed. Terms may not be canceled.
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Cancellation
Any mathematics expres= sion is the addition or subtractions of one or more quantities. These quantities are called terms.
Example A.
a. 3xy + 2x – yz has three terms; 3xy, 2x and yz.
b. x(y += z) is one term, but it's expanded form xy + xz has two terms, xy and xz.
A quantity that is multiplied to other quantities is called a factor.<= /span>
Example B:
a. 3x2yz has many factors;  3,  x,  y,  yz, x2, yx2,  ...
b. x(y + z) has two factors, x and (y + z).
P
Q
Given a fraction     &nb= sp; , common factor of P and Q may
be cancel= ed. Terms may not be canceled.
In other words, in ord= er to simplify a fraction, the fraction must be in the = factored form.
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4
6
=3D
2*2
2*3
Cancellation
Example C.
a.
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4
6
=3D
2*2
2*3
Cancellation
Example C.
a.
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4
6
=3D
2*2
2*3
=3D
2
3
Cancellation
Example C.
a.
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4
6
=3D
2*2
2*3
=3D
2
3
4
6
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
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4
6
=3D
2*2
2*3
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
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4
6
=3D
2*2
2*3
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
b.
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4
6
=3D
2*2
2*3
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
b.
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4
6
=3D
2*2
2*3
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
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4
6
=3D
2*2
2*3
<= ![endif]>
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
(x + y)(2x = 211; y)
(2x +y) (x + y)
c.
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4
6
=3D
2*2
2*3
<= ![endif]>
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
(x + y)(2x = 211; y)
(2x +y) (x + y)
=3D
2x – y
2x + y &= nbsp; ,
=
c.
------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAk AAMAgAAAAAAAAAINhI+pi+EPo5y0UoZVAQA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAk ABIAgQAAAAAAAP8AZgECAwIvjI+py+0Hopy02ouz3lwL0YXTJ5ZkGZ4op64e6G5tfM10Zd8jrFt5 D/j1hEMgpQAAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAW AAIAgAAAAAAAAAIFjI+py1wAO1== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAs AAIAgAAAAAAAAAIIjI+py+0PXQEAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAP AB8AgAAAAP8AZgIwhI8XkW3r0mJR0fpunTh3wHWQOGKlqUUh+q1b6rgqHNPSObd4rdvIziP5LD1d sVMAADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAt AAIAgAAAAAAAAAIIjI+py+0PYQEAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAL ACAAgAAAAP8AZgIrhG8RyMqn1osvyenwbRtRXQEZSFZdiKbqWnLhx53WO3q1Tcuwa96WnEAVAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAb AAEAgAAAAAAAAAIEjI+pWgA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAj AAIAgAAAAAAAAAIKjI+py70Ao5yxAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAAAAAAIJjI+py+0OogQFADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEQArAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAO ACgAgAAAAP8AZgIzhG8RyLfNFIwTyZpwepjX22kA+Ink5KEptDYnK8byTJtmS2mve9s6bunphKGf rwN0EBkFADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAAAAAAIKjI+py90Ao5yxAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQA2 AAEAgAAAAAAAAAIGjI+py90FADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA2 ABAAgAAAAP8AZgI0hI+py83hopwnWEuzvhzrv3QcSCLiVaanl4Ir1LprLJ/0997brFN5P/kBI8Kh RGQkwZKkAgA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAy AA8AgAAAAP8AZgIxhI+py33hopSh2omn3TX7xV3faIQdOZon6qns576ZCslabFNmfu+8Q/tFcELd qjgpAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhxwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAADE AAIAgAAAAAAAAAIZjI+py+0P4wO02oux3Lz7D4bikpVmNaZgAQA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0056_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAO AA4AgAAAAP8AZgIahI8Wkb3czotyUWXv1Jlu30WfGDplMpLXUQAAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Cancellation
4
6
=3D
2*2
2*3
<= ![endif]>
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
(x + y)(2x = 211; y)
(2x +y) (x + y)
=3D
2x – y
2x + y &= nbsp; ,
=
(x + y) + (2x – y)
(2x + y)+ (x + y)
c.
------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAk AAMAgAAAAAAAAAINhI+pi+EPo5y0UoZVAQA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAk ABIAgQAAAAAAAP8AZgECAwIvjI+py+0Hopy02ouz3lwL0YXTJ5ZkGZ4op64e6G5tfM10Zd8jrFt5 D/j1hEMgpQAAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAW AAIAgAAAAAAAAAIFjI+py1wAO1== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAs AAIAgAAAAAAAAAIIjI+py+0PXQEAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAP AB8AgAAAAP8AZgIwhI8XkW3r0mJR0fpunTh3wHWQOGKlqUUh+q1b6rgqHNPSObd4rdvIziP5LD1d sVMAADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAt AAIAgAAAAAAAAAIIjI+py+0PYQEAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDQAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAL ACAAgAAAAP8AZgIrhG8RyMqn1osvyenwbRtRXQEZSFZdiKbqWnLhx53WO3q1Tcuwa96WnEAVAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image040.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAb AAEAgAAAAAAAAAIEjI+pWgA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAj AAIAgAAAAAAAAAIKjI+py70Ao5yxAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAAAAAAIJjI+py+0OogQFADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image043.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEQArAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAO ACgAgAAAAP8AZgIzhG8RyLfNFIwTyZpwepjX22kA+Ink5KEptDYnK8byTJtmS2mve9s6bunphKGf rwN0EBkFADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAk AAIAgAAAAAAAAAIKjI+py90Ao5yxAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image045.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQA2 AAEAgAAAAAAAAAIGjI+py90FADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA2 ABAAgAAAAP8AZgI0hI+py83hopwnWEuzvhzrv3QcSCLiVaanl4Ir1LprLJ/0997brFN5P/kBI8Kh RGQkwZKkAgA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAy AA8AgAAAAP8AZgIxhI+py33hopSh2omn3TX7xV3faIQdOZon6qns576ZCslabFNmfu+8Q/tFcELd qjgpAAA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image048.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhxwAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAADE AAIAgAAAAAAAAAIZjI+py+0P4wO02oux3Lz7D4bikpVmNaZgAQA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhegADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQB4 AAEAgAAAAAAAAAIJjI+py+0Po5wFADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0057_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAO AA4AgAAAAP8AZgIahI8Wkb3czotyUWXv1Jlu30WfGDplMpLXUQAAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Cancellation
4
6
=3D
2*2
2*3
<= ![endif]>
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
(x + y)(2x = 211; y)
(2x +y) (x + y)
=3D
2x – y
2x + y &= nbsp; ,
=
(x + y) + (2x – y)
(2x + y)+ (x + y)
c.
No cancellation!
------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAk AAMAgAAAAAAAAAINhI+pi+EPo5y0UoZVAQA7 ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image052.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAk ABIAgQAAAAAAAP8AZgECAwIvjI+py+0Hopy02ouz3lwL0YXTJ5ZkGZ4op64e6G5tfM10Zd8jrFt5 D/j1hEMgpQAAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAW AAIAgAAAAAAAAAIFjI+py1wAO1== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image054.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAs AAIAgAAAAAAAAAIIjI+py+0PXQEAOw== ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image055.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAP AB8AgAAAAP8AZgIwhI8XkW3r0mJR0fpunTh3wHWQOGKlqUUh+q1b6rgqHNPSObd4rdvIziP5LD1d sVMAADs= ------=_NextPart_01C95D3C.22BE0830 Content-Location: file:///C:/DE4BB24E/3Cancellation_files/slide0058_image056.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAt 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4
6
=3D
2*2
2*3
<= ![endif]>
=3D
2
3
4
6
=3D
3 + 1
3 + 3
=3D
3 + 1
3 + 3
Cancellation
Example C.
a.
x2y
xz
=3D
xxy
xz
=3D
xy
z  =   ,
x2 + y<= span lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH= -CN; mso-special-format:lastCR;display:none'>
xz
, no cancellation!
b.
(x + y)(2x = 211; y)
(2x +y) (x + y)
=3D
2x – y
2x + y &= nbsp; ,
(x + y) + (2x – y)
(2x + y)+ (x + y)
=3D
3x
3x + 2y =