## gfields444 3 years ago Difficult question, please help!! What is the simplified form of the quantity 3 x squared over x squared minus 1 all over 9 x over the x squared plus 2 x plus 1 ? a)x times the quantity x minus 1 all over 3 times the quantity x plus 1 b)x times the sum x plus 1 all over 3 times the quantity x minus 1 c)3 x times the quantity x plus 1 all over the quantity x minus 1 d)the quantity x minus 1 all over 3 x times the quantity x plus 1

1. gfields444

I tried to eliminate the choices, but I kept messing up. I just need help figuring out how to solve

2. robtobey

$\frac{3x^2}{x^2-1}/\frac{9x}{x^2+2x+1}$Is the above the problem expression?

3. gfields444

The first fraction that you put goes above the second.

4. gfields444

Oh I read that awrong. You're right!

5. robtobey

Well "/", although small, is a division sign.$\left(\frac{3x^2}{x^2-1}/\frac{9x}{x^2+2x+1}\right)=\left(\frac{3x^2}{x^2-1}*\frac{x^2+2x+1}{9x}\right)$Try factoring the expressions containing x^2. Also, 3x^2/9x will simplify.

6. gfields444

|dw:1346283896987:dw|

7. robtobey

The above is correct except for the 3x. Can you simplify the following.$\frac{3x^2}{9x}$

8. gfields444

Ohh would the 3x go on the bottom with the denominator? x^2

9. gfields444

Wait it would be .... (Hang on drawing it)

10. gfields444

|dw:1346284402022:dw|

11. robtobey

$\frac{3x^2}{9x}=\frac{x}{3}$Sorry, I had to leave the computer for a few minutes.

12. robtobey

Congratulations.$\frac{x (x+1)}{3 (x-1)}$is correct.

13. gfields444

Thank you so much!! You're so awesome!!

14. robtobey

And thank you for the medal.

15. gfields444

Anytime :)