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

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

Thanks.

(edited 7 years ago)

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"

Original post by 1 8 13 20 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.

(edited 7 years ago)

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

\displaystyle 15x {(1 + 3x)}^4 + {(1 + 3x)}^5 = {(1 + 3x)}^4 (15x) + {(1 + 3x)}^4 (1 + 3x)

then use the general factorisation above..

Original post by 1 8 13 20 42

ab + ac = a(b + c) right

you have

\displaystyle 15x {(1 + 3x)}^4 + {(1 + 3x)}^5 = {(1 + 3x)}^4 (15x) + {(1 + 3x)}^4 (1 + 3x)

then use the general factorisation above..

ok that makes much more sense now. Thanks for your time, massive thanks.

(edited 7 years ago)

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