## anonymous one year ago Can someone help me with this? Simplify the rational expressions. State any excluded values. Show your work. 3x-6/x-2 3x-6/x-2 =2x+3 <--- is this right?

1. anonymous

Okay so to simplify factor out 2 from the equation in the numerator.

2. anonymous

|dw:1437949343283:dw|

3. anonymous

Sorry that's 3 rather.

4. anonymous

And to state the excluded values, just make the denominator not equal to 0.

5. anonymous

I messed up i was suppose to make my 3 negative and like always i for got haha

6. anonymous

So what is the simplified form of the expression?

7. anonymous

x3

8. anonymous

x-3

9. anonymous

Hmm no.

10. anonymous

|dw:1437949548153:dw|

11. anonymous

Do you know how to factor?

12. anonymous

Don't think i can factor 3 any lower unless i make it 1

13. anonymous

Sigh.|dw:1437949769605:dw|

14. anonymous

You're correct that it will 1. :)

15. anonymous

will be*

16. anonymous

Alright, do i add the 3's to get six how did you get six if not

17. anonymous

No multiply them again to get 3x-6.

18. anonymous

|dw:1437949902336:dw|

19. anonymous

Now, you're not yet done with it because you still simplify it.

20. anonymous

Alright.

21. anonymous

|dw:1437949978179:dw|

22. anonymous

Are you there?

23. anonymous

Yeah i'm here

24. anonymous

25. anonymous

3x?

26. anonymous

no

27. anonymous

|dw:1437950117617:dw|

28. anonymous

I'll give you an example.

29. anonymous

I thought x-2/x-2 = 0

30. anonymous

|dw:1437950158254:dw|

31. anonymous

No. :(

32. anonymous

I already gave you an example. So what's the answer now? :)

33. anonymous

so it would be 3?

34. anonymous

Yes! :D

35. anonymous

For the excluded values...

36. anonymous

Make the denominator NOT equal to 0.

37. anonymous

Do you know where the denominator is?

38. anonymous

The lower number example 5/7 <-- denominator

39. anonymous

So what is the denominator of the expression?

40. anonymous

x-2?

41. anonymous

Right so...|dw:1437950496073:dw|

42. anonymous

Just do it algebraically.

43. anonymous

x?

44. anonymous

|dw:1437950539642:dw|

45. anonymous

+2

46. anonymous

Huh?

47. anonymous

|dw:1437950594256:dw|

48. anonymous

x2?

49. anonymous

What?!

50. anonymous

I'll give you an example.

51. anonymous

....

52. anonymous

|dw:1437950639765:dw|

53. anonymous

??????????????

54. anonymous

Looks like it's going to be x2 but clearly it's not so i'm clueless.

55. anonymous

I can't make the unequal mark. x unequal 2?

56. LynFran

correct so x not equal 2 is the restricted value

57. anonymous

Thanks Lynn

58. anonymous

Thanks Lynn.