Chapter 4.5, Problem 14WE

To determine

To find: The simplified form of the expression $4t\left(2t^2-t-5\right)$ .

Answer to Problem 14WE

The simplified form of the expression $4t\left(2t^2-t-5\right)$ is $8t^3-4t^2-20t$ .

Explanation of Solution

Given:

The expression is $4t\left(2t^2-t-5\right)$ .

Calculation:

The given expression $4t\left(2t^2-t-5\right)$ is simplified as follows:

  $\begin{array}{c}4t\left(2t^2-t-5\right)=4t\left(2t^2\right)+4t\left(-t\right)+4t\left(-5\right)\\ =8t^3-4t^2-20t\end{array}$

Thus, the simplified form of the expression $4t\left(2t^2-t-5\right)$ is $8t^3-4t^2-20t$ .