CPM Homework Help : PC Problem 11-55

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11-55.

Simplify the following expressions. Write your answers in $a + bi$ form.

$(4+3i)-(2-4i)$
Step (a):
$4+3i-2+4i$

$(4-2i)(3+4i)$
Hint (b):
Use the Distributive Property. You should have four terms before combining like terms and simplifying.

$(3-5i)^2$
Step (c):
$(3-5i)(3-5i)$

$\frac{1+i}{1-i}$
Step (d):
$\frac{1+i}{1-i}\left(\frac{1+i}{1+i}\right)$

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