Factorise 125x^3 - 27y^3

(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)