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# Product rule C3 watch

1. I don't understand this transition at all, any ideas??

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2. (Original post by Abby5001)

I don't understand this transition at all, any ideas??

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They have factorised it.
3. (Original post by 16Characters....)
They have factorised it.
I know it must be blindingly obvious to you but I can't really see it for some reason

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4. (Original post by Abby5001)
I know it must be blindingly obvious to you but I can't really see it for some reason

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If we for the moment replace with the letter u our expression is:

.

Both terms have a common factor of (the first term has 15x lots of u^4, the last term has u lots) so we can bring this common factor out as:

Which when we replace u by 1 + 3x again is:

Is that any clearer?

This form of factorisation confused some members of my AS further maths class; the key thing is to recognise that you can treat the bracket as you would a single letter when factorising.
5. (Original post by 16Characters....)
If we for the moment replace with the letter u our expression is:

.

Both terms have a common factor of (the first term has 15x lots of u^4, the last term has u lots) so we can bring this common factor out as:

Which when we replace u by 1 + 3x again is:

Is that any clearer?

This form of factorisation confused some members of my AS further maths class; the key thing is to recognise that you can treat the bracket as you would a single letter when factorising.
That makes a lot more sense, Thankyou

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Updated: November 10, 2015
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