CPM Homework Help : CCA2 Problem 8-111

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8-111.

Show that each of the following equations is true.

$(i - 3)^2 = 8 - 6i$
Hint (a):
Start by multiplying $\left(i − 3\right)\left(i − 3\right)$ . Use a generic rectangle if you need one.
$i^2 - 6i + 9 = 8 - 6i$
Answer (a):
$i^2 = -1,$ so $i^2 - 6i + 9 = -1 - 6i + 9 = 8 - 6i$

$(2i - 1)(3i + 1) = -7 - i$
Hint (b):
See part (a).

$(3 - 2i)(2i + 3) = 13$
Hint (c):
See part (a).

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