Question

How do you simplify `(2+3i)^2`?

Answer 1

`(2+3i)^2 = 12i -5`

Explanation:

You should know that `i^2 = -1`. Then,

`(2+3i)^2 = (2)^2 + 2(3i)(2) + (3i)^2`

`= 4 + 12i +9i^2`

`= 4 + 12i - 9`

`= 12i -5`