Question

simplify: x^2+9x+8/x^2+10x+9

Answer 1

what do you get when you factor x^2+9x+8

Answer 2

(x+1) (x+8)

Answer 3

and when you factor x^2+10x+9 you get ______

Answer 4

(x+1) (x+9)

Answer 5

So

\[\Large \frac{x^2+9x+8}{x^2+10x+9}\]

turns into

\[\Large \frac{(x+1)(x+8)}{(x+1)(x+9)}\]


The "x+1" terms cancel out (since they divide to 1) leaving you with


\[\Large \frac{x+8}{x+9}\]


which is your fully simplified final answer.

Answer 6

yay thanks its right!!

Answer 7

you're welcome