Chapter 4.3, Problem 2ST

To determine

To simplify: The given expression.

Answer to Problem 2ST

  $3\left(t^2-2\right)-t\left(3t-1\right)$ is simplified as $t-6$ .

Explanation of Solution

Given:

The following expression:

  $3\left(t^2-2\right)-t\left(3t-1\right)$

Calculation:

The given expression can be simplified as:

  $\begin{array}{l}3\left(t^2-2\right)-t\left(3t-1\right)[\text{Given]}\\ =3t-6-3t^2+t[\text{Distributive property]}\\ =t-6[\text{Combine similar terms]}\end{array}$