Question

How do you simplify `(8+7i)^2`?

Answer 1

`(8+7i)^2=15+112i`

Explanation:

Always remember while multiplying or dividing complex numbers that `i^2=-1`.

Hence `(8+7i)^2`

= `8^2+2×8×7i+(7i)^2`

= `64+112i+48+49×(-1)`

= `64-49+112i`

= `15+112i`