### Home > A2C > Chapter 9 > Lesson 9.2.3 > Problem9-111

9-111.

Show that each of the following equations is true.

1. $\left(i − 3\right)^{2} = 8 − 6i$

Start by multiplying.
i$^{2} − 6i + 9 = 8 − 6i$

$i ^{2} = −1, so i ^{2} − 6i + 9 = −1 − 6i + 9 = 8 − 6i$

1. $\left(2i − 1\right)\left(3i + 1\right) = −7 − i$

See part (a).

1. $\left(3 − 2i\right)\left(2i + 3\right) = 13$

See part (a).