Given the expression:
[tex]-3d^3\mleft(15c^2-8cd-125d^2\mright)[/tex]We will simplify the expression using distribution property as follows:
Note: in case of multiplication we add the exponents.
[tex]\begin{gathered} =-3d^3\cdot15c^2+(-3d^3)\cdot(-8cd)+(-3d^3)\cdot(125d^2) \\ =-45c^2d^3+24cd^4+375d^5 \end{gathered}[/tex]