Answer:
__9t²-4t-4__
t-6
Explanation:
Let's focus on JUST (t+2)(t-2) first. We can do this:
Multiply t by everything in the second equation:
t²-2t
Then multiply 2 by everything in the second equation:
2t-4
Then subtract those two, according to the second equation:
t²-2t-2t-4
Then simplify:
t²-4t-4
We aren't done yet, though. We have got to multiply the fractions.
Our new equation after simplifying would be:
9·t²-4t-4 (Let's forget about the denominator for a minute)
So, our new top equation would be:
9t²-4t-4
Now, in our denominator, we can multiply t-2 by 3, so we get:
t-2·3=t-6
So, our fraction would now look like:
__9t²-4t-4__ That fraction would be your answer.
t-6
Sorry if I'm wrong :/