## anonymous 5 years ago How do I simplify? 4/(1+i) the answer is supposed to be 2-2i ??

1. amistre64

conflagerate the bottom....

2. anonymous

multiply the top and bottom by the conjugate of (1+i) which is (1-i). Simplify.

3. amistre64

$\frac{4}{1+i} * \frac{1-i}{1-i}$

4. amistre64

conjugate! thats the word I wanted lol

5. anonymous

4-4i/1+i-i-i2 i2=1 so 4-4i/2 simplify to get 2-2i

6. anonymous

i2=-1

7. anonymous

Awesome, thank you so much for your help!

8. anonymous

welcome from the both of us!