x3 - 8y3 = x3 - (2y)3 &there4; x3 - 8y3 = x3 - (2y)3 x3 - 8y3 = (x - 2y)(x2 + 2xy + 4y2)

English

Factorise: x3 - 8y3 -

Factorise: x³ - 8y³

Sum

x³ - 8y³= x³ - (2y)³

∴ x³ - 8y³ = x³ - (2y)³

x³ - 8y³ = (x - 2y)(x² + 2xy + 4y²)

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