Use complex conjugates to factor the expression .

Step-by-step explanation:

We have the expression:

We can factor this using complex conjugates. Essentially, we will use the difference of two squares:

First, we can factor out a 9 from our expression. This gives us:

We can now rewrite our expression as:

Therefore, our a² is and our b² is -4.

Let’s solve for each of them individually. So, for a:

Take the square root of both sides:

Simplify:

And for b:

Take the square root of both sides:

Simplify:

Simplify the negative root using i:

Therefore, we have and .

So, by using the difference of two squares:

a

step-by-step explanation: