Chapter A.7, Problem 22AYU

To determine

To write:The given expression in the standard form $a+ib$ .

Answer to Problem 22AYU

The given expression in the standard form $a+ib$ is $-10$ .

Explanation of Solution

Given information:

The expression is $\left(-3+i\right)\left(3+i\right)$ .

Calculation:

Consider the expression.

$\begin{array}{c}\left(-3+i\right)\left(3+i\right)=-3\left(3+i\right)+i\left(3+i\right)\\ =-9+-3i+3i+i^2\\ =-9+\left(-1\right)\\ =-10\end{array}$