Question

part 2 of 3 (b) when two conjugates are multiplied, the resulting binomial is a difference of squares. this is given by the formula (a + b)(a - b) =

Explanation:

Step1: Recall difference - of - squares formula

The formula for the product of two conjugates $(a + b)(a - b)$ is derived from the distributive property.

Step2: Expand using distributive property

$(a + b)(a - b)=a\times a-a\times b + b\times a - b\times b$.
Since $-ab+ba = 0$, we have $(a + b)(a - b)=a^{2}-b^{2}$.

Answer:

$a^{2}-b^{2}$