WebAlgebra. Factor 27x^3-1. 27x3 − 1 27 x 3 - 1. Rewrite 27x3 27 x 3 as (3x)3 ( 3 x) 3. (3x)3 − 1 ( 3 x) 3 - 1. Rewrite 1 1 as 13 1 3. (3x)3 − 13 ( 3 x) 3 - 1 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 ... Webx3 − 43 x 3 - 4 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 = x a = x and b = 4 b = 4. (x−4)(x2 +x⋅4+42) ( x - 4) ( x 2 + x ⋅ 4 + 4 2) Simplify. Tap for more steps... (x−4)(x2 +4x+16) ( x - 4) ( x 2 + 4 x + 16)
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