Question

Simplify: (2x+5y)³-(2x-5y)³​

Answer 1

Answer:

−250y3 − 120x2y

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Step-by-step explanation:

(a−b)3 = a3 − b3 − 3ab(a−b)

(a+b)3 = a3 + b3 + 3ab(a+b)

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

= (8x3 − 125y3 − 30xy(2x−5y)) − (8x3 + 125y3 + 30xy (2x+5y) )

= 8x3 − 125y3 − 60x2y + 150xy2 − 8x3 − 125y3 − 60x2y − 150xy2

= −250y3 − 120x2y