Answer
$(3x – 5)(9x^2 + 15x + 25)$
Work Step by Step
Recall that $a^3 – b^3 = (a – b)(a^2 + ab + b^2)$.
$27x^3-125$ can be rewritten as $(3x)^3-5^3$
We use this to simplify the expression: $27x^3-125=(3x – 5)((3x)^2 + 3x(5) + 5^2)=(3x – 5)(9x^2 + 15x + 25)$
