Simplify 2 x minus 5 y the whole cube minus 2 x + 5 y the whole cube
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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
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