Chapter A.7, Problem 32AYU

To determine

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

Answer to Problem 32AYU

The given expression in the standard form $a+ib$ is $-2i$ .

Explanation of Solution

Given information:

The expression is ${\left(1-i\right)}^2$ .

Calculation:

Consider the expression.

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