Question

simplify (2x-5y) ^3

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Answer 1

Answer:

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Answer 2

We have the formula that

$(a−b)^3 = a^3 − b^3 − 3ab(a−b)$

$(a+b)^3 = a^3 + b^3 + 3ab(a+b)$

The given question is $(2x−5y)^3 − (2x+5y)^3$

$= (8x^3 − 125y^3 − 30xy(2x−5y)) − (8x^3 + 125y^3 + 30xy (2x+5y) )$

$= 8x^3 − 125y^3 − 60x^2y + 150xy^2 − 8x^3 − 125y^3 − 60x^2y − 150xy^2$

$= −250y^3 − 120x^2y$