Question

Multiply each pair of factors. Type the product in the space provided.

(6 + 3i)(6 − 3i) =


(4 − 5i)(4 + 5i) =


(−3 + 8i)(−3 − 8i) =

Answer 1

\[\large \color{green}{(a+bi)(a-bi) = a^2 + b^2}\]

Answer 2

Try to solve them with this formula..
I do it for first part:
In the first part, you can compare both and you get : \(a =6\) and \(b=3\),
so answer will be : \(a^2 + b^2 = 6^2 + 3^2 = \color{blue}{45}..\)