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## Homework Statement

use product rule to find the derivative of g(x)=(2x+1)^2(x-7)^3

## Homework Equations

i've applied chain rule and product rule to get...

## The Attempt at a Solution

4(2x+1)(x-7)^3+3(2x+1)^2(x-7)^2

i need to factor out to get the following..

5(x-7)^2(2x-5)(2x+1)

That's the final answer from the book. But the steps to get there... I'm lost. Can anyone help me out on getting it to the factored form?