Question

1+8x^3 factorize





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Answer 1

Rewrite 1 as 13 . Rewrite 8x3 8 x 3 as (2x)3 ( 2 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=1 and b=2x b = 2 x .