CPM Homework Help : INT3 Problem 8-69

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8-69.

Multiply and simplify each expression.

$( 3 + 2 i ) ( 4 + i )$
Hint (a):
Use an area model. Remember that $i^{2} = −1$ .
Answer (a):
$10 + 11i$

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

$( 5 - 2 i ) ( 5 + 2 i )$
Hint (c):
See part (a).

$( a + b i ) ( a - b i )$
Answer (d):
$a^{2} + b^{2}$

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