# simplifying each rational expression

• April 2nd 2008, 01:04 PM
simplifying each rational expression
4t+12
_____

t^2-9
• April 2nd 2008, 01:10 PM
topher0805
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:

$(t+3)(t-3)$
• April 2nd 2008, 01:29 PM
Thank you so much, but i am just clarifying this is the final answer

4(t+3)
________

(t+3)(t-3)
• April 2nd 2008, 01:56 PM
topher0805
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}$
• April 2nd 2008, 02:13 PM