Sorry, the equation's really small /:

Simplify the complex rational expression

Question

Sorry, the equation's really small /:

Simplify the complex rational expression

anonymous · Answer

$$\frac{ \frac{ 1 }{ x+6 } }{ \frac{ 5 }{ x^2-36 } }$$

anonymous · Answer

I think I have to put them beside each other

luigi0210 · Answer

Take the bottom and flip it

anonymous · Answer

$$ \frac{ x^2-36 }{ 5 }$$ like that?

luigi0210 · Answer

$$\LARGE \frac{ \frac{ 1 }{ x+6 } }{ \frac{ 5 }{ x^2-36 } }=\frac{1}{x+6}*\frac{x^2-36}{5}$$
Now solve it

anonymous · Answer

$$\frac{ -x^2 +36 }{ 5x+30 }$$
is that correct?

anonymous · Answer

wrong question sorry lol ignore that

luigi0210 · Answer

You actually could have simplified earlier, if you notice, $x^2-36$ factors to $(x-6)(x+6)$ . Cross out the $(x+6)$ and you are left with $\Large \frac{x-6}{5}$

anonymous · Answer

I always forget when to factor...I've never really been good a that but that seems simpler... than simplifying at the last minute. Thank you.