# . Simplify (2x-5y)^3-(2x+5y)^3

Simplify (2x-5y)3-(2x+5y)3

A:120x2y2+250y3

B:-120x2y+2503

C:120x2y+250y3

D:-120x2y-250y3

Explanation:

Correct option is (D)

We have,

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

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

(2x-5y)3-(2x+57)3

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

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

=-250y3-120x2y
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