Question

How do you simplify `(6-7i)(2+5i)`?

Answer 1

`(6-7i)(2+5i) = 47 + 16i`

Explanation:

`(6-7i)(2+5i) = 6*2 + 6*5i + (-7i)*2 + (-7i)*5i`

`= 12 + 30i - 14i - 35i^2`

`= 12 + 16i - 35(-1)`

`= 12 + 16i + 35`

`= 47 + 16i`