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# How is this algebraically possible? (C3 Differentiation, Product Rule)

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1. Can someone please guide me through this? I don't know how it has been simplified.

Thanks.
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2. (Original post by ManLike007)
Can someone please guide me through this? I don't know how it has been simplified.

Thanks.
Clearly (1 + 3x)^4 is a factor of both expressions being added on the first line, so you "take it out"
3. (Original post by 13 1 20 8 42)
Clearly (1 + 3x)^4 is a factor of both expressions being added on the first line, so you "take it out"
I don't quite understand what you mean.
4. (Original post by ManLike007)
What do you mean? I still can't get my head around this.
ab + ac = a(b + c) right

you have

then use the general factorisation above..
5. (Original post by 13 1 20 8 42)
ab + ac = a(b + c) right

you have

then use the general factorisation above..
ok that makes much more sense now. Thanks for your time, massive thanks.

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