Factoring out the GCF

Question

The problem is: 2(m-1)-3(m-1)^2+2(m-1)^3 (Factoring out the GCF) If possible please explain the steps, that way I can solve these problems myself in the future.

Answer 1

The GCF is m-1.

So, we have (m-1) [ 2 - 3(m-1) + 2(m-1)²] = (m-1) [ 2m² - 7m + 7]