### Home > CCA2 > Chapter 8 > Lesson 8.2.3 > Problem8-111

8-111.

Show that each of the following equations is true.

1. $(i - 3)^2 = 8 - 6i$

Start by multiplying $\left(i − 3\right)\left(i − 3\right)$. Use a generic rectangle if you need one.

$i^2 - 6i + 9 = 8 - 6i$

$i^2 = -1,$ so $i^2 - 6i + 9 = -1 - 6i + 9 = 8 - 6i$

1. $(2i - 1)(3i + 1) = -7 - i$

See part (a).

1. $(3 - 2i)(2i + 3) = 13$

See part (a).