## anonymous 4 years ago Simplify:

1. anonymous

simplify what?

2. lilg132

simplified

3. anonymous

$2x-2y \over 3x+3y$ . $6x+6y \over x ^{2}-y ^{2}$

4. anonymous

Answer choices are: A. 4 B. $2 \over 3(x-y)$ C. $4 \over x+y$

5. anonymous

I put the . there to show its times because I don't know how to put the dot in between the problems

6. anonymous

Yes that is the problem

7. anonymous

$\frac{2x-2y}{3x+3y}\times \frac{6x+6y}{x^2-y^2}$

8. anonymous

$\frac{4}{x+y}$

9. anonymous

lot of factoring and canceling for this one you need the steps?

10. anonymous

11. anonymous

actually factors as this $\frac{2(x-y)6(x+y)}{3(x+y)(x+y)(x-y)}$

12. anonymous

What do I have to do to factor it? I'm confused.

13. anonymous

$2x-2y=2(x-y)$

14. anonymous

$6x+6y=6(x+y)$

15. anonymous

$3x+3y=3(x+y)$

16. anonymous

$x^2-y^2=(x+y)(x-y)$

17. anonymous

so you factor as much as you can to see what factors you might have in common in the numerator and denominator. then you cancel each factor you have in common to reduce the fraction

18. anonymous

Alright thanks! (:

19. anonymous

when you get this $\frac{2(x-y)6(x+y)}{3(x+y)(x+y)(x-y)}$ then you get rid of all common factors

20. anonymous

$\frac{2\cancel{(x-y)}6(x+y)}{3(x+y)(x+y)\cancel{(x-y)}}$

21. anonymous

$\frac{12(x+y)}{3(x+y)(x+y)}$

22. anonymous

$\frac{12\cancel{(x+y)}}{3\cancel{(x+y)}(x+y)}$

23. anonymous

so finally you get $\frac{4}{x+y}$

24. anonymous

Exactly what I was thinking!! (: Thank you very much!!

25. anonymous

yw