SOLUTION: Please help me factor this: {{{ x^4(4)(2x+1)^3(2x)+(2x+1)^4(4x^3) }}} The book says {{{ x^4(4)(2x+1)^3(2x)+(2x+1)^4(4x^3) = 2x^3(2x+1)^3 (4x^2+2(2x+1)) }}} = {{{ 2x^3(2x+1)^

Question 823788: Please help me factor this:
The book says
=
=
In the first line, I understand how and are factored, but what is really confusing me is how are factored. The lines following I also understand.
Thanks.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

I think it will be easier to understand if we simplify a little before factoring. The first term. , can simplify a little if we multiply the , the 4 and the 2x together:

Now we can factor a 4 from the 8 and the 4, a from the and the , and a from the and the :

Now we just simplify the second factor:

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