I'm trying to do this problem,
$$(4x + 1)^{15}\cdot\frac{1}{3}(12x - 5)^{-\frac{2}{3}}\cdot 12 + (12x - 5)^{\frac{1}{3}}\cdot15(4x + 1)^{14}\cdot 4$$
I've gotten down to,
$$4(4x+1)^{15}(12x-5)^{-\frac{2}{3}} + 60(12x-5)^{\frac{1}{3}}(4x+1)^{14}$$
I'm really wanting to understand how to finish this problem and the steps necessary from this point. Math isn't my strong suit. If you reply to this, I'd greatly appreciate an explanation/step by step. Thank you!
Force out the common factor of $(4x + 1)^{14} (12x - 5)^{-\frac{2}{3}}$ to get
$$(4x + 1)^{14} (12x - 5)^{-\frac{2}{3}}\left((4x + 1)\cdot\frac{1}{3}\cdot 12 + (12x - 5)\cdot 15 \cdot 4\right)$$
Which simplifies to
$$(4x + 1)^{14} (12x - 5)^{-\frac{2}{3}}(736x - 296)$$