Chapter 0.2, Problem 16E

To determine

the product.

Answer to Problem 16E

  $\left(4t-7\right)\left(3t-12\right)=12t^2-69t+84$

Explanation of Solution

Given information:

  $\left(4t-7\right)\left(3t-12\right)$

It is given that $\left(4t-7\right)\left(3t-12\right)$

So,

  $\begin{array}{c}\left(4t-7\right)\left(3t-12\right)=4t\left(3t-12\right)-7\left(3t-12\right)\\ 4t\left(3t-12\right)-7\left(3t-12\right)=12t^2-48t-21t+84\\ 12t^2-48t-21t+84=12t^2-69t+84\end{array}$

So,

  $\left(4t-7\right)\left(3t-12\right)=12t^2-69t+84$