Answer
$125x^3-150x^2+60x-8$
Work Step by Step
FOIL the terms in the parentheses by using the special product formula.
$(A+B)^3=A^3+3A^2B+3AB^2+B^3$
Then combine like terms to simplify.
$(5x-2)^3$
$(5x-2)(5x-2)(5x-2)$
$(5x)^3-3*(5x)^2*2+3*5x*2^2-2^3$
$125x^3-6*25x^2+3*5x*4-8$
$125x^3-150x^2+60x-8$