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x^4 +2x^3 y - 2xy^3 - y^4
=> (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) (x+y)
=> (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) (x+y)
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Please see the attached file!
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