Solve: $-3(6t^3-1)^6 -3t[6(6t^3-1)^5(18t^2)]$ Solve:  $-3(6t^3-1)^6 + -3t[6(6t^3-1)^5(18t^2)]$
I don't know how to multiply the two equations and then add them.

Let $A = 6t^3-1$.
\begin{align} -3(6t^3-1)^6 + -3t[6(6t^3-1)^5(18t^2)] &= -3A^6-3t(108A^5t^2) \\
&= -3A^6-324A^5t^3\\
&=-3A^5(A+108t^3)\\
&=-3(6t^3-1)^5[(6t^3-1)+108t^3]\\
&=-3(6t^3-1)^5(114t^3-1)\\
\end{align}
So $t=\sqrt[3]{\frac{1}{6}}, \sqrt[3]{\frac{1}{114}}.$
