## anonymous one year ago Simplify and identify the domain.

1. anonymous

|dw:1433117123881:dw|

2. mathslover

You need to first factorize the denominator. Can you do it?

3. anonymous

i barley started to learn this, so would you mind leading me through it

4. anonymous

i will post the answer choices!

5. mathslover

Yeah, sure! No problem! See : I've denominator as : \((4x + 8).(x^2 - 9) \) I'll factorize both of them separately. \(4x + 8\) can be written as : \(4(x+2)\) ; Notice what I did... I just took 4 common from both the terms and I was left with (x+2). Clear with this part?

6. anonymous

@jagr2713

7. anonymous

|dw:1433124883261:dw|

8. anonymous

|dw:1433125682747:dw|

9. anonymous

@jagr2713

10. anonymous

the last choice should have a parenthesis at the end

11. anonymous

are you there? @jagr2713

12. anonymous

@peachpi

13. anonymous

Let's factor 4x + 8. What is the biggest number that goes into both 4 and 8?

14. anonymous

that divides into both of them? 4

15. anonymous

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16. anonymous

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17. anonymous

im kinda confused?

18. anonymous

have you done factoring yet in school?

19. anonymous

I'm only asking you to reduce the 2 fractions inside the parentheses right now

20. anonymous

do you know how to put 4/4 in lowest terms?

21. anonymous

not really!! and not i barley started learning to factor!

22. anonymous

the question you posted is relatively advanced algebra. I'm not really sure how to help you if you aren't even familiar with the basic stuff. :(

23. anonymous

well it is a worksheet that we are suppose to get help with to start becoming familiar with this topic!

24. anonymous

@peachpi can you just try to walk through it with me? please!!

25. anonymous

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26. anonymous

does that make sense?

27. anonymous

oh okay so the cancel out!

28. anonymous

yes. now to factor x² - 9. There is no common factor, so we have to use another rule. What number times itself is 9?

29. anonymous

in other words, what's the square root of 9?

30. anonymous

3

31. anonymous

this rule is called a difference of squares. x² - 9 = (x - 3)(x + 3)

32. anonymous

okay!

33. anonymous

so then it whould equal to zero?

34. anonymous

so 3 and -3?

35. anonymous

yes. but you also have to do 4x+8 = 0

36. anonymous

ok

37. anonymous

how do i do that one?

38. anonymous

start by subtracting 8 from both sides

39. anonymous

|dw:1433129376428:dw|

40. anonymous

4x=-8

41. anonymous

how do you get x by itself from there?

42. anonymous

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43. anonymous

|dw:1433129573453:dw|

44. anonymous

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45. anonymous

|dw:1433129767322:dw|

46. anonymous

47. anonymous

okay!

48. anonymous

now let's get back to the simplifying part. I'm going to rewrite the expression to show the factoring

49. anonymous

so as of now the possible answers are b and d! correct?

50. anonymous

yes

51. anonymous

okay!

52. anonymous

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53. anonymous

|dw:1433130238835:dw| is this right?

54. anonymous

|dw:1433130292264:dw|

55. anonymous

@peachpi

56. anonymous

is my simplifying correct?

57. anonymous

that's right :)

58. anonymous

so b?

59. anonymous

yes

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