SOLUTION: How would I factor this? 12(p+2q)^4-40(p+2q)^3+12(p+2q)^2 Thank You,

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Question 76452This question is from textbook intermediate algebra
: How would I factor this?
12(p+2q)^4-40(p+2q)^3+12(p+2q)^2
Thank You, This question is from textbook intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First we need to find the GCF among 12,-40, and 12. The GCF of these numbers is 4, so we can factor out a 4. Since we have common terms of %28p%2B2q%29%5E2, we can factor that as well.
So lets factor out a 4 and a p%2B2q%29%5E2 term
4%28p%2B2q%29%5E2%283%28p%2B2q%29%5E2-10%28p%2B2q%29%2B3%29 This is our factored expression