Chapter 8, Problem 32CR

To determine

To simplify:The expression $(6g+7)(g-8)$

Answer to Problem 32CR

  $6g^2-41g-56$

Explanation of Solution

Given information:The expression $(6g+7)(g-8)$

Calculation:

  $\begin{array}{l}(6g+7)(g-8)\\ =6g(g-8)+7(g-8)[\text{distributing the second factor }(g-8)]\\ =6g^2-48g+7(g-8)[\text{distributing }6g]\\ =6g^2-48g+7g-56[\text{distributing 7]}\\ =6g^2-41g-56[\text{combining like terms]}\end{array}$

Thus, $(6g+7)(g-8)=6g^2-41g-56$