CPM Homework Help : INT2 Problem 7-29

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7-29.

Let $p = 2 + 5i$ and $q=3-4i$ . Calculate the following values and write them in $a + bi$ form.

$p + q$
Step 1(a):
$(2+5i)+(3-4i)$
Step 2(a):
$(2+3)+(5i-4i)$
Answer (a):
$5 + i$

$p-q$
Hint (b):
Use the same method as part (a). Use parentheses and do not forget to distribute the minus sign.

$p · q$
Hint (c):
Remember that $i^2=-1.$
Use an area model to multiply.
Answer (c):
$26 + 7i$

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