## anonymous one year ago @UsukiDoll

1. UsukiDoll

hiiiii

2. anonymous

hey :D

3. anonymous

okay first question

4. anonymous

5. anonymous

heres the first 3

6. UsukiDoll

ok can you hold a minute I'm answering another question

7. anonymous

yes I can

8. UsukiDoll

k back

9. UsukiDoll

so GCF is the greatest common factor.. what doe the equation have in common

10. UsukiDoll

so what does the equation $6y^2+12xy^2$ have in common? hint: there's a variable and a number in common

11. anonymous

umm this is for 10?

12. UsukiDoll

yes

13. anonymous

they both have 6 and Y^2

14. UsukiDoll

yes they do

15. UsukiDoll

so when there is something in common we can place that common part to the side.. so 6y^2 ( whatever there is left)

16. UsukiDoll

so since a 1 and 2x is left behind we have 6y^2(1+2x) we can check easily by distributing them back 6y^2+12xy^2

17. anonymous

so it A?

18. UsukiDoll

yes

19. UsukiDoll

for #11.. there is only a number in common because there are 2 terms with a variable but the last one is just a number

20. anonymous

3 is a common factor

21. UsukiDoll

yes :D

22. UsukiDoll

so 3 is on the side and what do we have left ( ) ?

23. anonymous

its B?

24. UsukiDoll

no because originally we have 3 terms.. B only has two terms.

25. UsukiDoll

there's a way to make this a bit faster... since 3 is the common factor we just divide 12/3 18/3 and 3/3

26. anonymous

Got you.. so its D?

27. UsukiDoll

yes

28. anonymous

for twelve, i have to right the answer out.

29. UsukiDoll

hmm there is just a number is common.. it's similar to the previous problem

30. anonymous

okay.

31. UsukiDoll

so what number can be used to divide 3, 9, and 27 ?

32. anonymous

3

33. anonymous

34. anonymous

3(x2-3x+9) ?

35. UsukiDoll

wow you're picking this up fast that's right $3(x^2-3x+9) \rightarrow 3x^2-9x+27$

36. anonymous

okay next 3

37. anonymous

38. anonymous

is 13 d?

39. anonymous

just a quick guess :/

40. anonymous

wait no I mean b

41. UsukiDoll

yes it is B for 13

42. anonymous

14 b also?

43. UsukiDoll

yes

44. anonymous

okay 15 now

45. anonymous

2 is common

46. UsukiDoll

yes 2 is common

47. anonymous

2(x2+9x+8)

48. UsukiDoll

correct

49. anonymous

but I have to do the +C -C

50. UsukiDoll

hmmm that would mean that x^2+9x+8 is factorable

51. anonymous

2(x+8)(x+1)

52. UsukiDoll

so there's more than just factoring out the 2 .... SOOO FAST! :D

53. anonymous

did I get it right?

54. UsukiDoll

yeah

55. anonymous

yay! next 3

56. anonymous

well 2 lol

57. anonymous

58. UsukiDoll

we need long division for this xD

59. anonymous

what does that mean?

60. anonymous

I don't understand :/

61. UsukiDoll

I'm getting burned out.. it's like .. oh mai brain T_T

62. anonymous

lol geeeeez louiseeee

63. UsukiDoll

wait. see now I'm not thinking right... we just use factoring and take out the like terms

64. UsukiDoll

the choices gave me a hint... if it was long division the answer would look different.. ok I can do this now xD!

65. UsukiDoll

for the first problem, there is a perfect square binomial

66. anonymous

Yay we are back on the road lol and okay.

67. UsukiDoll

so x^2-16... that's a perfect square in the form of (x^2-y^2) = (x+y)(x-y)... so what is the square root of 16?

68. anonymous

4?

69. UsukiDoll

yes so we have (x+4)(x-4) in the denominator.

70. anonymous

that makes it A?

71. UsukiDoll

I think we got lucky on the numerator part of this since we need to find a combination of numbers that can produce an 8 and a 16 4 x 4 = 16 4+4 is also 8 and since the pattern is all plus signs, our end result should be something like (x+4)(x+4) and wow it is A

72. UsukiDoll

because there is at least one pair of x+4 (both in numerator and denominator) in common so that gets cancelled.

73. anonymous

okay 17 now

74. UsukiDoll

numerator is that there is one number in common denominator is that it can be split up since 12 is 6 x 2 = 12 and 6-2 = 4 the problem is should the 2 be negative or the 6 be negative in order to achieve the result of x^2+4x-12

75. anonymous

(x+6)(x-2)

76. UsukiDoll

yes an for the numerator?

77. anonymous

5

78. UsukiDoll

yes 5 is common 5(x-2)/ (x+6)(x-2) who gets canceled out?

79. anonymous

(x-2)

80. UsukiDoll

yes so the answer is 5/(x+6)

81. anonymous

d?

82. UsukiDoll

I have to go for a bit... xD need a break xD!

83. anonymous

okay

84. anonymous

You there?

85. anonymous

hello?

86. UsukiDoll

I have to go eat dinner. I'll be back

87. anonymous

okay :)