(8x³-27y³) by (2x-3y)
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Divide (8x³-27y³) by (2x-3y)
8x³ - 27y³ / 2x - 3y
a³ - b³ = (a - b)(a² + ab + b²)
Taking a = 2x and b = 3y
8x³ - 27y³ = (2x - 3y)(4x² + 6xy + 9y²)
Dividing both sides by 2x - 3y, we see that
(8x³ - 27y³) ÷ (2x - 3y) = 4x² + 6xy + 9y²
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