Question 674023

trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4) 


{{{(x^3 - x^2y + xy^2 - y^3)/(x^4 - y^4)}}} 


{{{(x^2(x - y) + y^2(x - y))/((x^2 - y^2)(x^2 + y^2))}}} ---- Factoring numerator and denominator


{{{((x^2 + y^2)(x - y))/((x - y)(x + y)(x^2 + y^2))}}} ---- Factoring numerator and denominator further


{{{(cross((x^2 + y^2))cross((x - y)))/(cross((x - y))(x + y)cross((x^2 + y^2)))}}} ------ {{{highlight_green(1/(x + y))}}}


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