Simplifying and Rearranging Polynomial Expressions

GeneralOJB
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Differentiate and simplify:
y=(x+1)(2x-3)^{4}

I got:
8(x+1)(2x-3)^{3} + (2x-3)^{4}.

But the answers in the answer booklet say:
5(2x+1)(2x-3)^{3}

I put both answers in Wolfram Alpha and found they were both equal. So this is just a matter of simplifying/rearranging.

Could someone please explain to me how to simplify my answer to get the answer in the booklet? This one's annoying me as I just can't seem to do it.
 
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Factor out a (2x-3)3.
 
Thanks so much! I can't believe I never thought to do that.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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