### Home > PC > Chapter 11 > Lesson 11.1.4 > Problem11-55

11-55.

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

1. $(4+3i)-(2-4i)$

$4+3i-2+4i$

1. $(4-2i)(3+4i)$

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

1. $(3-5i)^2$

$(3-5i)(3-5i)$

1. $\frac{1+i}{1-i}$

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