Question

Multiply the pair of conjugates using Product of Conjugates Pattern (8j + 4)(8j - 4)

Answer 1

Given the pair of conjugates:

`(8j+4)(8j-4)`

To solve the above expression, we multiply the terms in the second parentheses by each term in the first parentheses.

This is done as follows:

`\begin{gathered} (8j+4)(8j-4) \\ \implies8j(8j-4)+4(8j-4) \\ =64j^2-32j+32j-16 \\ but\text{ j}^2=-1 \\ \text{thus, we have} \\ 64(-1)^{}-32j+32j-16 \\ =-64-16 \\ =-80 \end{gathered}`

Hence, we have the product of the conjugate pairs to be -80.