Chapter 8, Problem 17CR

To determine

To simplify:The expression $4m(2m+9m^2-6)$

Answer to Problem 17CR

  $36m^3+8m^2-24m$

Explanation of Solution

Given information:The expression $4m(2m+9m^2-6)$

Calculation:

  $\begin{array}{l}4m(2m+9m^2-6)\\ =(4m)(2m)+(4m)(9m^2)-(4m)(6)[\text{Distributive property}]\\ =8m^2+36m^3-24m\\ =36m^3+8m^2-24m[\text{writing in standard form]}\end{array}$

Thus, $4m(2m+9m^2-6)=36m^3+8m^2-24m$