CPM Homework Help : A2C Problem 9-111

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Home > A2C > Chapter 9 > Lesson 9.2.3 > Problem 9-111

9-111.

Show that each of the following equations is true.

$\left(i − 3\right)^{2} = 8 − 6i$
Hint (a):
Start by multiplying.
i $^{2} − 6i + 9 = 8 − 6i$
Answer (a):
$i ^{2} = −1, so i ^{2} − 6i + 9 = −1 − 6i + 9 = 8 − 6i$

$\left(2i − 1\right)\left(3i + 1\right) = −7 − i$
Hint (b):
See part (a).

$\left(3 − 2i\right)\left(2i + 3\right) = 13$
Hint (c):
See part (a).

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