Question

Factorising 27 x^3 - y^3,

Answer 1

Answer:

Rewrite 27x3 27 x 3 as (3x)3 ( 3 x ) 3 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=3x a = 3 x and b=y . Simplify. Apply the product rule to 3x 3 x .