Does $4(x^3+2x^2+x)^3(3x^2+4x+1) = 4x^3(3x+1)(x+1)^7$? Please provide proof
The answer in the back of the book is different to both my calculations and also the online calculator I crosschecked my answer with...

The Question:
"Differentiate with respect to $x$:"
$
(x^3+2x^2+x)^4
$
My Answer: $4(x^3+2x^2+x)^3(3x^2+4x+1)$
The Book's Answer: $4x^3(3x+1)(x+1)^7$

Since $(\forall x\in\mathbb{R}):4(x^3+2x^2+x)^3(3x^2+4x+1)=4x^3(3x+1)(x+1)^7$, both answers are correct. But your answer is more natural.
