SOLUTION: I need help factoring the following expression: (2x-1)^2(x-3)+(x+1)(2x-1)^3 My work: I'm unsure how to do this, I tried multiplying it all out to see if I could do anything fro

Algebra ->  Expressions -> SOLUTION: I need help factoring the following expression: (2x-1)^2(x-3)+(x+1)(2x-1)^3 My work: I'm unsure how to do this, I tried multiplying it all out to see if I could do anything fro      Log On


   

Question 775732: I need help factoring the following expression:
(2x-1)^2(x-3)+(x+1)(2x-1)^3
My work: I'm unsure how to do this, I tried multiplying it all out to see if I could do anything from there and got even more lost, please help me. Thank you.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
The obvious factor is (2x-1). If it is difficult to look at, try a substitution. Let p=2x-1.

p%5E2%28x-3%29%2B%28x%2B1%29p%5E3
p%5E2%28x-3%2B%28x%2B1%29p%29
Put back the full expression substituted:
%282x-1%29%5E2%28x-3%2B%28x%2B1%29%282x-1%29%29%29
%282x-1%29%5E2%28x-3%2B2x%5E2%2B2x-x-1%29
%282x-1%29%5E2%282x%5E2%2B2x-1%29