Simplify [(x- y) ( 2+x y+ 2 )] - [(x + y) ( 2 -x y+ 2 ]
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Answer:
[(x-y)(2+xy+2)] - [(x+y)(2-xy+2)]
=[(x-y)(4+xy)] - [(x+y)(4-xy)]
= 4x+x^2y-4y-xy^2-4x+x^2y-4y+xy^2
= 4x-4x-4y-4y+x^2y+x^2y-xy^2+xy^2
= -8y+2x^2y
So the answer is -8y+2x^2y
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