Question

simplify 2 x minus 5 y whole cube minus 2 X + 5 y whole cube

Answer 1

(2x - 5y)³ - (2x + 5y)³

Using a³ - b³ = (a - b)(a² + b² + ab)

Assuming 2x - 5y as a and 2x + 5y as b we get,

[2x - 5y - (2x + 5y)][(2x - 5y)² + (2x + 5y)² + (2x - 5y)(2x + 5y)]

=> (2x - 5y - 2x - 5y) ×(4x² + 25y² - 20xy + 4x² + 25y² + 20xy + 4x² - 25y²)

=> (-10y)(12x² + 25y²)

=> -120x²y - 250y³


Hope it helps dear friend ☺️✌️

Answer 2

So the answer is

$- 250y^{3} - 120x^{2}y$