Question

Factor Completely

(X-1)^3(2x-3) - (2x+1)(x-1)^2

Answer 1

foil (x-1)(x-1)(x-1) gives you x^3-3x^2+3x+1
(x^3-3x^2+3x+1)(3X-3) foil
gives you 2x^4-9x^3+15x^2+11x-3

for the other side
(x-1)(x-1)= x^2-2x+1
(2x+1)(x^2-2x+1) = 2x^3-3x^2+1

(2x^4-9x^3+15x^2+11x-3) - (2x^3-3x^2+1)

=2x^4-11x^3+18x^2+11x-4