Chapter 4.5, Problem 7OE

To determine

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

Answer to Problem 7OE

The simplified form of the expression $-t\left(-2-t\right)$ is $2t+t^2$ .

Explanation of Solution

Given:

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

Calculation:

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

  $\begin{array}{c}-t\left(-2-t\right)=-t\times \left(-2-t\right)\\ =-t\times \left(-2\right)-t\times \left(-t\right)\\ =2t+t^2\end{array}$

Thus, the simplified form of the expression $-t\left(-2-t\right)$ is $2t+t^2$ .