CPM Homework Help : CCA2 Problem 11-91

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11-91.

Multiply and simplify each expression.

Hint:

Use an area model. Remember that $i^2 = -1$ .

$(3 + 2i)(4 + i)$
Step (a):
$12 + 3i + 8i + 2i^2$
Answer (a):
$10 + 11i$

$(2 + 3i)(2 - 3i)$

$(5 - 2i)(5 + 2i)$

$(a + bi)(a - bi)$
Answer (d):
$a^2 + b^2$

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