Question

What is this simplified?

Answer 1

\[\frac{ x+1 }{ x^2+x-6}\div \frac{ x^2+5x+4 }{ x+4 }\]

Answer 2

when you divide by a fraction its the same as multiplying by its reciprocal

Answer 3

stay, change , flip?

Answer 4

you will want to do that first
after that, factor the two quadratic equations

Answer 5

flip the second fraction and change the divide sign to a multiply sign

Answer 6

\[\frac{ x+4 }{(x+1)(x+4) }\]

Answer 7

yes
now...
\[\frac{ x+1 }{x ^{2}+x+6 }*\frac{ x+4 }{ (x+1)(x+4) }\]

Answer 8

factor the denominator of the first fraction too

Answer 9

how would i do that one?

Answer 10

actually you don't have to! :P
now you can cancel out some terms
see the x+1? and the x+4?

Answer 11

yes

Answer 12

would the denominator be (x+3)(x+4) ?

Answer 13

@shravanm1