Question

Simplify :- (2x-5y)³ + (2x+5y)³​

Answer 1

Answer:

We have the formula that

(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

Answer 2

${\huge{\underline{Answer}}}$

Simplify :-

(2x-5y)³+(2x+5y)³

$8x ^{3} - 125 {y}^{3} - 30xy(2x - 5y) - 8x^{3} + 125 {y}^{3} +30xy(2x + 5y)$

$the \: value \: is \: - 250y^{3} - 120 {x}^{2}y$