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turaroverlan
@turaroverlan
June 2022
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разложите на множители x^3-x^2y-xy^2+y^3
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x^3 - x^2y - xy^2 + y^3 = (x^3-x^2y) - ( xy^2-y^3)=x^2(x-y)-y^2(x-y)=(x-y)(x^2-y^2)=(x-y)(x-y)(x+y)=(x-y)^2(x+y)
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Answers & Comments
x^3 - x^2y - xy^2 + y^3 = (x^3-x^2y) - ( xy^2-y^3)=x^2(x-y)-y^2(x-y)=(x-y)(x^2-y^2)=(x-y)(x-y)(x+y)=(x-y)^2(x+y)