## meow18 3 years ago Simplify:

1. alexxis15

simplify what?

2. lilg132

simplified

3. meow18

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

4. meow18

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

5. meow18

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

6. meow18

Yes that is the problem

7. satellite73

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

8. satellite73

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

9. satellite73

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

10. meow18

11. satellite73

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

12. meow18

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

13. satellite73

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

14. satellite73

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

15. satellite73

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

16. satellite73

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

17. satellite73

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. meow18

Alright thanks! (:

19. satellite73

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. satellite73

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

21. satellite73

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

22. satellite73

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

23. satellite73

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

24. meow18

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

25. satellite73

yw