Question

How do you divide `(3+10i)^2`?

Answer 1

`-91 + 60i`

Explanation:

There is no division involved in this problem.

However,

`(3+10i)^2 = (3+10i)(3+10i)`
`" " = (3)(3)+(3)(10i) + (3)(10i) + (10i)(10i)`
`" " = 9 + 60i + 100i^2`
`" " = 9 + 60i - 100 \ \ \ \ \ \ \ \ (because i^2=-1)`
`" " = -91 + 60i`