Differentiation Product Rule

  • Thread starter GeneralOJB
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  • #1
GeneralOJB
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Differentiate and simplify:
y=(x+1)(2x-3)[tex]^{4}[/tex]

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

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

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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Answers and Replies

  • #2
LCKurtz
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Factor out a (2x-3)3.
 
  • #3
GeneralOJB
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Thanks so much! I can't believe I never thought to do that.
 

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