# How do you simplify #(5+4i)(5+4i)#?

##### 1 Answer

Feb 5, 2016

9 + 40i

#### Explanation:

distribute the brackets using FOIL

(5+4i)(5+4i) =

# 25 +20i+20i+16i^2 # [remember that

# i^2 =(sqrt(-1))^2 = -1 # ]hence

# 25+20i+20i -16 = 9 + 40i #