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5 February, 17:50

Factorise 125x^3 - 27y^3

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  1. 5 February, 21:21
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    (5x - 3y) (25x² + 15xy + 9y²)

    Step-by-step explanation:

    125x³ - 27y³ is a difference of cubes and factors in general as

    a³ - b³ = (a - b) (a² + ab + b²)

    Given

    125x³ - 27y³

    = (5x) ³ - (3y) ³

    = (5x - 3y) ((5x) ² + (5x) (3y) + (3y) ²)

    = (5x - 3y) (25x² + 15xy + 9y²)
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