. 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
Best Answer
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
Final Answer:
Hence, the correct option is (d) :-120x2y-250y3.
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