CPM Homework Help : PCT Problem 11-26

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11-26.

Given $i= \sqrt{-1}$ and $i^{2}=-1$ , simplify. Write your answers in $a + bi$ form.

$3i(2 + 4i)$
Step (a):
$6i + 12i^{2}$

$(5i)^2$
Step (b):
$5i · 5i$

$(2 + i)(2 − i)$
Step (c):
$4 − i^{2}$

$(3 − 2i)(4 + i)$
Step (d):
$12 + 3i − 8i − 2i^{2}$

$(4 − 5i)^2$
Hint (e):
$(4 − 5i)(4 − 5i)$

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