Question

Sorry, the equation's really small /:

Simplify the complex rational expression

Answer 1

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

Answer 2

I think I have to put them beside each other

Answer 3

Take the bottom and flip it

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

wrong question sorry lol ignore that

Answer 8

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 \(\Large \frac{x-6}{5}\)

Answer 9

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.