Simplify `(2x-5y)^(3)-(2x+5y)^(3)`. – InterviewSolution

InterviewSolution

1.	Simplify `(2x-5y)^(3)-(2x+5y)^(3)`.
Answer» We have, `(2x-5y)^(3)-(2x+5y)^(3)` `={(2x-5y)-(2x+5y)}{(2x-5y)^(2)+(2x-5y)(2x+5y)+(2x+5y)^(2)} " " [because a^(3)-b^(3)=(a-b)(a^(2)+ab+b^(2))]` `=(2x-5y-2x-5y)(4x^(2)+25y^(2)-20xy+4x^(2)-25y^(2)_25y^(2)+20xy)` `=(-10y)(2x^(2)+25y^(2))=-120x^(2)y-250y^(3)`

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