factorize x^4 + 2x^3y - 2xy^3 - y^4
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X^4 - y^4 - 2x^3 y+2xy^3
=(x^2 +y^2) (x^2 - y^2) - 2xy(x^2 - y^2)
=(x^2 - y^2) (x^2 +y^2 - 2xy)
=(x+y)(x-y)(x-y)^2
=(x^2 +y^2) (x^2 - y^2) - 2xy(x^2 - y^2)
=(x^2 - y^2) (x^2 +y^2 - 2xy)
=(x+y)(x-y)(x-y)^2
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Answer: Here is your answer...hope it helps
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