1. Simplifying derivative

Hi,

So I've been analyzing the following steps in this algebraic expression for quite some time now:

Could someone please provide the in-between steps for how the first line led to the second line?

Really appreciate help.

2. Re: Simplifying derivative

Note the first line has two terms with the common factor $\color{red}{(6x^4+x)^3}$ ...

$15x^4 \cdot \color{red}{(6x^4+x)^3} \cdot (6x^4+x) + 12x^5 \cdot \color{red}{(6x^4+x)^3} \cdot (24x^3+1)$

pull out the common factor ...

$\color{red}{(6x^4+x)^3} \bigg[15x^4(6x^4+x) + 12x^5(24x^3+1) \bigg]$

distribute the $12x^5$ inside the brackets to arrive at the second line in the image ...