## lisa2345 one year ago @UsukiDoll

1. UsukiDoll

hiiiii

2. lisa2345

hey :D

3. lisa2345

okay first question

4. lisa2345

5. lisa2345

heres the first 3

6. UsukiDoll

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

7. lisa2345

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. lisa2345

umm this is for 10?

12. UsukiDoll

yes

13. lisa2345

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. lisa2345

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. lisa2345

3 is a common factor

21. UsukiDoll

yes :D

22. UsukiDoll

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

23. lisa2345

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. lisa2345

Got you.. so its D?

27. UsukiDoll

yes

28. lisa2345

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. lisa2345

okay.

31. UsukiDoll

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

32. lisa2345

3

33. lisa2345

34. lisa2345

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. lisa2345

okay next 3

37. lisa2345

38. lisa2345

is 13 d?

39. lisa2345

just a quick guess :/

40. lisa2345

wait no I mean b

41. UsukiDoll

yes it is B for 13

42. lisa2345

14 b also?

43. UsukiDoll

yes

44. lisa2345

okay 15 now

45. lisa2345

2 is common

46. UsukiDoll

yes 2 is common

47. lisa2345

2(x2+9x+8)

48. UsukiDoll

correct

49. lisa2345

but I have to do the +C -C

50. UsukiDoll

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

51. lisa2345

2(x+8)(x+1)

52. UsukiDoll

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

53. lisa2345

did I get it right?

54. UsukiDoll

yeah

55. lisa2345

yay! next 3

56. lisa2345

well 2 lol

57. lisa2345

58. UsukiDoll

we need long division for this xD

59. lisa2345

what does that mean?

60. lisa2345

I don't understand :/

61. UsukiDoll

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

62. lisa2345

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. lisa2345

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. lisa2345

4?

69. UsukiDoll

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

70. lisa2345

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. lisa2345

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. lisa2345

(x+6)(x-2)

76. UsukiDoll

yes an for the numerator?

77. lisa2345

5

78. UsukiDoll

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

79. lisa2345

(x-2)

80. UsukiDoll

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

81. lisa2345

d?

82. UsukiDoll

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

83. lisa2345

okay

84. lisa2345

You there?

85. lisa2345

hello?

86. UsukiDoll

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

87. lisa2345

okay :)