CPM Homework Help : PC Problem 11-55

Simplify the following expressions. Write your answers in a + bi form. Homework Help ✎
1. (4 + 3i) − (2 − 4i)
2. (4 − 2i) (3 + 4i)
3. (3 − 5i)²

Step (a):

4 + 3i − 2 + 4i

Now combine like terms.

Hint (b):

Use the Ditributive Property. You should have four terms before combining like terms and simplifying.

Step (c):

(3 − 5i)(3 − 5i)

Step (d):

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