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MA 153 simplify foil problem

label Algebra
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Simplify 

(x-y)^2 - (x+y)^2

Dec 8th, 2014

(x-y)^2 - ( x + y ) ^2 

= [ (x-y)(x-y) ] - [ ( x+y) ( x + y)] 

= [  x^2 - xy - xy + y^2 ]  -   [ x^2 + xy + xy + y ^2 ]

=  x^2 - 2xy + y ^2 - x^2 - 2xy - y^2

=  -4xy

Answer = -4xy

Dec 7th, 2014

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Dec 8th, 2014
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