Question

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

Answer 1

Explanation:

By Difference of Squares,

a² - b² = (a + b)(a - b).

=> (3 + 8i)(3 - 8i) = 3² - (8i)²

= 9 - 64i² = 9 - 64(-1) = 73.