misterivanpro misterivanpro

03-03-2018
Mathematics

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Factor the polynomial: x^2–xy+x–xy^2+y^3–y^2

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mathmate mathmate

03-03-2018

Write expression as
x^2–xy+x –(xy^2-y^3+y^2)
Then take out common factors in each group
=x(x-y+1) -y^2(x-y+1)
Take out the common factor (x-y+1)
=(x-y+1)(x-y^2) voilà!

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