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1
Using the formula
a³ - b³ = (a - b)(a² +ab + b²)
- (2x + 3y)³ - (2x - 3y)³
= [(2x + 3y) - (2x - 3y)][(2x + 3y)² + (2x +
3y) (2x-3y) + (2x - 3y)²]
= [2x + 3y - 2x + 3y][4x² + 12xy + 9y² + 4x²-9y² +4x²-12xy +9y²]
= 6y(12x² +9y²)
= 72x²y + 54y³