4x^3−12x^2 /4x^2+7x−2/ 2x^2−6x / 5x^2+11x+2
Invert the second fraction and multiply by the first
4x^3 - 12x^2 5x^2 + 11x + 2
___________ x _______________ factor as much as possible
4x^2 + 7x - 2 2x^2 - 6x
4x^2 ( x - 3) ( 5x + 1) ( x + 2)
______________ x _______________ "cancel" where possible
(4x - 1) ( x + 2) 2x ( x - 3)
2x * ( 5x + 1)
_____________
( 4x - 1)
