# Math Help - simplifying each rational expression

1. ## simplifying each rational expression

4t+12
_____

t^2-9

2. 1.) $4t+12$

Factor out the common terms. In this case, the only common term is 4:

$
4(t+3)$

2.) $t^2-9$

Recognize this as a difference of squares to get:

$(t+3)(t-3)$

3. Thank you so much, but i am just clarifying this is the final answer

4(t+3)
________

(t+3)(t-3)

4. Yes those are the final answers. I am a bit confused. Was it two questions like I did or was it supposed to be like this:

$
\frac {4(t+3)}{(t+3)(t-3)}$

If it was one question and it is a division statement, then you can also cancel out the (t+3) terms to get a final answer of:

$
\frac {4}{t-3}$

5. it was all one question i am not sure how to write it liek u do

4t+12
_____
t^2-9