Question

Find the product (-5+3i)(-5-3i)
(simplify and write in form a+bi)

Answer 1

`\huge\boxed{(-5+3i)(-5-3i)=34=34+0i}`

Explanation:

`(-5+3i)(-5-3i)`

use (a + b)(a - b) = a² - b²

`=(-5)^2-(3i)^2=25-3^2i^2=25-9i^2`

we know i² = -1. Therefore

`=25-9(-1)=25+9=34`