## Falling_In_Katt one year ago Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying. $\frac{ 3-2i }{ 1+4i }$

1. anonymous

Do you know what the conjugate of the denominator is?

2. Falling_In_Katt

nope

3. anonymous

change the sign in front of the imaginary part, so the conjugate is 1-4i. multiply both numerator and denominator by it to get rid of the i in the denominator. $\frac{ (3-2i)(1-4i) }{ (1+4i)(1-4i) }$

4. anonymous

then foil both