How do you simplify #(1+i)^2#?

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Answer 1 · 2017-02-02T12:24:44

#2i#

Just times is out and plug in #i^2 = -1#

#(1+i)^2#

Times it out using foil or the perfect square rule

# = 1 + 2i + i^2#

Plug in #i^2 = -1#

# = 1 + 2i - 1#

# =2i #