Question

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

Answer 1

the answer is 73 hope it helped

Answer 2

(3 + 8i)(3 – 8i) = 73

Explanation:

`(3 + 8i)(3 – 8i)`

To multiply it we use FOIL method

First we multiply 3 by the terms inside second parenthesis

`3*3= 9`

`3 * -8i= -24`

Now we multiply 8i inside second parenthesis

`8i * 3= 24i`

`8i * (-8i) = -64i^2`

Combine all the terms

`9 - 24i + 24i - 64i^2`

The value of i^2 = -1

`9 - 24i + 24i - 64(-1)`

9 + 64= 73