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maths question

發問:

(x^3y - y^4)/ (-5y^2 + 10xy - 5x^2) x( 6x^2 - 4xy - 2y^2)/(x^2y + xy^2 + y^3) with full step.... Simplity

最佳解答:

(x^3y - y^4)/ (-5y^2 + 10xy - 5x^2) x( 6x^2 - 4xy - 2y^2)/(x^2y + xy^2 + y^3) = {y(x^3 - y^3)/ [(-5)(y^2 - 2xy + x^2)]} {[2( 3x^2 - 2xy - y^2)]/[y(x^2 + xy + y^2)]} = (-2/5) [(x^3 - y^3)/ (x-y)^2] [(3x+y)(x-y) / (x^2 + xy +y^2)] = (-2/5) [(x-y)(x^2 + xy+y^2) / (x-y)^2] [(3x+y)(x-y) / (x^2+xy+y^2)] = (-2/5) (3x+y)

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