Question

Simply this expression (3 + 2i)^2

Answer 1

5 + 2i

Explanation:

since
`√(-1) = i`

Use the perfect square formula ( a + b )^2

= 3^2 + 2 · 3 · 2i + (2i)^2

= 5 + 2i

or,

`5+2√(-1)`

Answer 2

5 + 12i

Explanation:

(3 + 2i)^2 = (3 + 2i)(3 + 2i) = 9 + 6i + 6i + 4i^2 = 9 + 12i - 4 = 5 + 12i