## anonymous 4 years ago write x^2 - 9 / x (x^3 - 4x / x^2 +5x +6) in simplest form.

1. myininaya

$\frac{x^2-9}{x} \frac{x^3-4x}{x^2+5x+6}$ is that the question?

2. anonymous

yeah pretty much. because the question is asking to find the area of the rectangle. |dw:1327020602568:dw|

3. anonymous

in simplest form

4. myininaya

have you factor all four of those polynomials?

5. anonymous

ohs. yeah that's what i was doing. but i keep getting and doing it wrong

6. myininaya

$\frac{(x-3)(x+3)}{x} \frac{x(x^2-4)}{(x+2)(x+3)}$

7. myininaya

did you get that far?

8. anonymous

yeah i got to that part.

9. myininaya

ok also x^2-4 is factorable

10. myininaya

$\frac{(x-3)(x+3)}{x} \frac{x(x-2)(x+2)}{(x+2)(x+3)}$

11. anonymous

ohhh ! okay i didn't do that part.

12. myininaya

now you have somethings to cancel, right?

13. anonymous

yep (x+3) and the (x+2) and the x ?

14. myininaya

$\frac{(x-3) \not{(x+3)} }{ \not{x}} \frac{ \not{x} (x-2) \not{(x+2)}}{\not{(x+2)} \not{(x+3)}}$

15. myininaya

i couldn't get the lines to go over the whole part

16. myininaya

so you have (x-3)(x-2) left right?

17. anonymous

yep so then the answer would be x^2- 5x +6

18. anonymous

OHHHH ! now i get it :) thank you !