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# C3 Product Rule - Help appreciated! watch

1. Differentiate: x^2(1+x)^3

Differentiate: x^2(1+x)^3

You use product rule and chain rule
3. (Original post by Mesosleepy)
You use product rule and chain rule
I've got that far. I'm at the last part which is simplifying to get the final answer.
I have 2x(x+1)^3 + 3(x+1)^2 *x^2
Could you help?
I've got that far. I'm at the last part which is simplifying to get the final answer.
I have 2x(x+1)^3 + 3(x+1)^2 *x^2
Could you help?
do 3 * x^2 then look for a common factor
5. Could you put the question in the math format? This is how i'm interpreting the question.
-----------3
x2(1+x)
6. (Original post by jackien1)
Could you put the question in the math format? This is how i'm interpreting the question.
-----------3
x2(1+x)
X^2 x (1+x)^3
7. Q1 a
8. Did you get the answer?
9. 1a.
10. (Original post by jackien1)
That seems such a long way round, and would take ages, this question can be done in about 3 minutes and no more than 7 lines.
11. (Original post by AlexS101)
That seems such a long way round, and would take ages, this question can be done in about 3 minutes and no more than 7 lines.
I'm just trying to clearly show OP how I'm getting the answer. This is by no means the fastest. I never claimed it could be done in 3 mins and 7 lines. Tbh, this could be done in under a min and in 3 lines. I'm going for clarity since OP requires the explanation.

You can post your own short version for OP if you'd like.
12. (Original post by jackien1)
Thanks for taking the time to show me the workings. Really appreciate it!
13. 3x^2(1+x)^2 +2x(1+x)^3
x and (1+x)^2 is a common factor
so = x(1+x)^2 [ 3x+2(1+x) ]
[ 3x +2 +2 x ]
[ 5x + 2 ]

= X(1+X)^2(5X+2)
Thanks for taking the time to show me the workings. Really appreciate it!
Welcome!
15. (Original post by Mesosleepy)
3x^2(1+x)^2 +2x(1+x)^3
x and (1+x)^2 is a common factor
so = x(1+x)^2 [ 3x+2(1+x) ]
[ 3x +2 +2 x ]
[ 5x + 2 ]

= X(1+X)^2(5X+2)
Thank you! I'm crap at factorising... 😑

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