Question

How do you simplify this rational expression?:

Answer 1

\[\frac{ 3x+2 }{ 15x ^{2}+16x+27 }\]

Answer 2

you don't?

Answer 3

It says you can?

Answer 4

3x + 2 is not a factor of 15x^2 + 16x + 27

Answer 5

What about \[\frac{ x ^{2}+6x+9 }{ x ^{2}+12x+27 }\]

Answer 6

I typed it wrong(sorry)

Answer 7

\[\frac{x^2 + 6x + 9}{x^2 + 12x + 27} = \frac{(x + 3)(x + 3)}{(x + 3)(x + 9)}\]

Answer 8

you can factor out the (x + 3)s

Answer 9

and say that it is (x+3)/(x+9)

Answer 10

I guess not so much factor out as really just cancel

Answer 11

and I was talking about one (x+3) on the top and one (x+3) on the bottom

Answer 12

So the expression would be: \[\frac{ (x+3) }{ (x+9) }\]

Answer 13

yes

Answer 14

Thank you so much!

Answer 15

you are welcome