Answer
$8x^3-60x^2+150x-125$
Work Step by Step
$(2x-5)^3$
$=(2x-5)(2x-5)(2x-5)$
$=[2x(2x-5)-5(2x-5)](2x-5)$
$=(4x^2-10x-10x+25)(2x-5)$
$=(4x^2-20x+25)(2x-5)$
$=4x^2(2x-5)-20x(2x-5)+25(2x-5)$
$=8x^3-20x^2-40x^2+100x+50x-125$
$=8x^3-60x^2+150x-125$