Sunday, March 8, 2009

Expansion

Expand the following.

(5x + 3) (x + 7)

(10x + 2) (-1x + 20)

(y - 5) (y + 5)

(3w + 1) (3x + 5)

(11u - 11) (6u - 1)

(xy - x) (3x + xy)

(8 + 30r) (5 + 2r)

(100t + 12) (52t - 12)

(a + b) (a - b)

(22i - 10) (4i - 3)
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67 comments:

  1. WeezyMarch 8, 2009 at 6:31 PM

    solution 1

    (5x+3)(x+7)
    5x^2 + 35x + 3x + 21
    5x^2 + 38x +21

    ReplyDelete
  2. WeezyMarch 8, 2009 at 6:39 PM

    This comment has been removed by the author.

    ReplyDelete
  3. WeezyMarch 8, 2009 at 6:45 PM

    solution 2
    (10x+2)(-1x+20)
    -10x^2 +200x - 2x + 40
    -10x^2 + 198x + 40

    ReplyDelete
  4. WeezyMarch 8, 2009 at 6:48 PM

    solution 3
    (y-5)(y+5)
    y^2+(5y - 5y)-25
    y^2 - 25

    ReplyDelete
  5. WeezyMarch 8, 2009 at 6:53 PM

    solution 4
    (3w+1)(3x+5)
    9wx (+15w + 3x) + 5
    9wx +18wx + 5

    ReplyDelete
  6. forzaMarch 8, 2009 at 6:55 PM

    1) 5x2 +38x + 21
    2) -20x2 + 196x + 40
    3) y2 - 25
    4) 9wx + 15w + 3x + 5
    5) 66u2 – 77u + 11
    6) 3x2 y + x2 y2 – 3x2 -x2 y
    7) 60r2 + 166r + 40
    8) 2600 t2 - 288t – 72
    9) A2 - b2
    10) 44i2 – 53i + 15

    ReplyDelete
  7. WeezyMarch 8, 2009 at 7:06 PM

    solution 5

    (11u-11)(6u-1)
    66u^2(-11u-66u)+11
    66u^2 - 77u + 11

    ReplyDelete
  8. WeezyMarch 8, 2009 at 7:12 PM

    solution 6

    (xy-x)(3x+xy)
    3yx^2(+x^2y^2-3x^2)-x^2y
    3yx^2 + xy^2 - yx^2

    ReplyDelete
  9. WeezyMarch 8, 2009 at 7:20 PM

    solution 7

    (30r+8)(2r+5)
    60r^2(150r+16r)+40
    60r^2 + 166r + 40

    ReplyDelete
  10. forzaMarch 8, 2009 at 7:24 PM

    This comment has been removed by the author.

    ReplyDelete
  11. WeezyMarch 8, 2009 at 7:27 PM

    solution 8

    (100t+12)(52t-12)
    5200t^2(-1200t+624t)-144
    5200t^2 - 576t - 144

    ReplyDelete
  12. sinMarch 8, 2009 at 7:28 PM

    sol 10
    (22i - 10)(4i-3)
    88i^2-66i-40i+30
    88i^2-106i+30
    44i^2-53i+15

    ReplyDelete
  13. sinMarch 8, 2009 at 7:35 PM

    sol9
    (a+b)(a-b)
    a^2-ab+ab-b^2
    a^2-b^2

    ReplyDelete
  14. WeezyMarch 8, 2009 at 7:36 PM

    solution 6
    idk forza i gettin the same answer...

    ReplyDelete
  15. WeezyMarch 8, 2009 at 7:46 PM

    ppl do Q6

    ReplyDelete
  16. forzaMarch 8, 2009 at 8:25 PM

    hello u not gettin the same answer boy u doin it wrong. u have 2 leave it as is . u cant add unlike terms e.g (t+ g)= t+g... its not (tg) ok

    ReplyDelete
  17. forzaMarch 8, 2009 at 8:50 PM

    This comment has been removed by the author.

    ReplyDelete
  18. forzaMarch 8, 2009 at 8:51 PM

    or ppl # 2)-10x2 + 198x + 40 for

    i had # 2)-20x2 + 196x + 40 for (10x + 2) (-2x+20)

    and weezy well some of ur answers are wrong or maybe im wrong but i dont think u cud add (+x^2y^2-3x^2)-x^2y and get xy^2 - yx^2... its 2 different terms ok..

    ReplyDelete
  19. AnonymousMarch 9, 2009 at 2:24 AM

    (1)(5x+3)(x+3)=5x^2+35x+3x+21
    =5x^2+38x+21

    ReplyDelete
  20. AnonymousMarch 9, 2009 at 2:29 AM

    (2)(10x+2)(-1x+20)=-10x^2+200x-2x+40
    =-10x^2+198x+40

    ReplyDelete
  21. AnonymousMarch 9, 2009 at 2:31 AM

    (3)(y-5)(y+5)=y^2+5y-5y-25
    =y^2-25

    ReplyDelete
  22. AnonymousMarch 9, 2009 at 2:33 AM

    (4) (3w+1)(3w+5)=9w^2+15w+3w+5
    =9w^2+18w+5

    ReplyDelete
  23. AnonymousMarch 9, 2009 at 2:36 AM

    (5) (11u-11)(6u-1)=66u^2-11u-66u+11
    =66u^2-77u+11

    ReplyDelete
  24. AnonymousMarch 9, 2009 at 2:41 AM

    (6) (xy-x)(3x+xy)=3x^2y+(xy)^2-3x^2-x^2y
    =2x^2y+x^2y^2-3x^2

    ReplyDelete
  25. AnonymousMarch 9, 2009 at 2:52 AM

    (7) (8+30r)(5+2r)=40+16r+150r+60r^2
    =40+166r=60r^2

    ReplyDelete
  26. AnonymousMarch 9, 2009 at 3:05 AM

    (8) (100t+12)(52t-12)=5200t^2-1200t+624t-144
    =5200t^2-576t-144

    ReplyDelete
  27. AnonymousMarch 9, 2009 at 3:07 AM

    (9) (a+b)(a-b)=a^2-ab+ab-b^2
    =a^2-b^2

    ReplyDelete
  28. AnonymousMarch 9, 2009 at 3:10 AM

    (10)(22i-10)(4i-3)=88i^2-66i-40i+30
    88i^2-106i+30

    ReplyDelete
  29. DarkyMarch 9, 2009 at 7:16 AM

    (5x + 3) (x + 7)

    5x^2 + 35x + 3x + 21

    5x ^ 2 + 38 x + 21

    ReplyDelete
  30. DarkyMarch 9, 2009 at 7:21 AM

    10x + 2) (-1x + 20)

    -10x^2 + -2x + 200x + 20

    _10x^2 + 198 x + 20

    ReplyDelete
  31. DarkyMarch 9, 2009 at 7:30 AM

    (y - 5) (y + 5)
    y ^2 + 5y -5y + -25
    The + 5y and - 5y will cancel out and you will end up with

    y^2 - 25

    ReplyDelete
  32. fellaMarch 9, 2009 at 9:09 AM

    Solution 1

    (5x + 3)(x + 7)
    =x(5x + 3) + 7(5x +3)
    = 5x2+ 3x + 35x +21
    = 5x2 + 38x + 21 = 0

    ReplyDelete
  33. AnonymousMarch 9, 2009 at 9:11 AM

    Q6 (xy-x)(3x+xy)
    = (3(x^2)y -3(x^2) +(x^2)(y^2)-(x^2)y)
    =4(x^2)y -3x^2 + (x^2)y^2

    ReplyDelete
  34. AnonymousMarch 9, 2009 at 9:15 AM

    CORRECTION 2 d final answer
    answer= 2(x^2)y -3x^2 +(x^2)y^2

    ReplyDelete
  35. AnonymousMarch 9, 2009 at 9:23 AM

    Q3 (y-5)(y+5)
    =y^2 + 5y -5y -25
    =y^2-25

    for questions like these you can use the formula
    (a+b)(a-b)= a^2-b^2

    ReplyDelete
  36. MarcMarch 9, 2009 at 4:52 PM

    1. (5x+3)(x+7)
    =5x^2 + 35x + 3x + 21
    =5x^2 + 38x + 21

    2. (10x+2)(-x+20)
    =-10x^2 + 200x - 2x + 40
    =-10x^2 + 198x + 40

    3. (y-5)(y+5)
    =y^2 + 5y - 5y - 25
    =y^2 - 25

    4. (3w+1)(3x+5)
    =9wx + 15w + 3x + 5

    5. (11u-11)(6u-1)
    =66u^2 - 11u - 66u + 11
    =66u^2 - 77u + 11

    ReplyDelete
  37. ravi bMarch 9, 2009 at 5:51 PM

    (12x-3)(3x+1)
    =12x(3x+1)-3(3x+1)
    =36x^2+12x-3x-3
    =36x^2+9x-3

    ReplyDelete
  38. ravi bMarch 9, 2009 at 6:10 PM

    Q.
    (3x +4)^2
    (3x+4)(3x+4)
    =9x^2+24x+16

    ReplyDelete
  39. ravi bMarch 9, 2009 at 6:13 PM

    Q.
    (4y-2)^2
    4y(4y-2)-2(4y-2)
    16y^2-8y-8y+4
    16y^2-16y=4

    ReplyDelete
  40. DillonMarch 9, 2009 at 7:46 PM

    Hey peps i did a few questions on my own and i need to kno if i'm right on track. Here are sum questions with my answers:

    1. (5x+4)(3x-8)
    15x^2-40x+12x-32
    15x^2-28x-32

    2. (2x-3)(x-2)
    2x^2-4x-3x+6
    2x^2-7x+6

    3. (x-9)^2
    (x-9)(x-9)
    x^2-9x-9x+81
    x^2-18x+81

    4. (2x-7)^2
    (2x-7)(2x-7)
    4x^2-14x-14x+49
    4x^2-28x+49

    ReplyDelete
  41. MarcMarch 9, 2009 at 9:36 PM

    6. (xy-x)(3x+xy)
    =3x^2y + x^2y^2 - 3x^2 - x^2y

    7. (8+30r)(5+2r)
    =40 + 16r + 150r + 60r^2
    =40 + 166r + 60r^2

    8. (100t+12)(52t-12)
    =5200t^2 - 1200t + 624t - 144
    =5200t^2 - 576t - 144

    9. (a+b)(a-b)
    =a^2 - ab + ab - b^2
    =a^2 - b^2

    10.(22i-10)(4i-3)
    =88i^2 - 66i - 40i + 30
    =88i^2 - 106i + 30

    ReplyDelete
  42. AnonymousMarch 10, 2009 at 5:24 AM

    Can someone tell me if my solutions are right?

    1. (2xy+x)(5xy+3x)
    10xy^2+6x^2y+5x^2y+3x
    10xy^2+11x^2y+3x

    2. (2a+4b)(6a-5b)
    12a^2-10ab+24ab-20b^2
    12a^2+12ab-20b^2

    3. (4x-2)^2
    (4x-2)(4x-2)
    16x^2-8x-8x+4
    16x^2-16x+4

    4. (5x+3)(x+7)
    5x^2+35x+3x+21
    5x^2+38 x+21

    ReplyDelete
  43. R@ptorMarch 10, 2009 at 8:52 AM

    solution 1

    (5x+3)(x+7)
    5x^2 + 35x + 3x + 21
    5x^2 + 38x +21

    ReplyDelete
  44. R@ptorMarch 10, 2009 at 8:53 AM

    solution 2
    (10x+2)(-1x+20)
    -10x^2 +200x - 2x + 40
    -10x^2 + 198x + 40

    ReplyDelete
  45. ravi bMarch 10, 2009 at 5:00 PM

    question
    (6x+2)^2
    =(6x+2)(6x+2)
    36x^2+12x+12x+4
    =36x^2+24x+4

    ReplyDelete
  46. R@ptorMarch 11, 2009 at 3:43 PM

    ques 3
    (y-5)(y+5)
    y^2 + (5y - 5y)- 25
    y^2 - 25

    ReplyDelete
  47. R@ptorMarch 11, 2009 at 3:45 PM

    ques 4
    (3w + 1) (3x + 5)
    = 6wx + 15w + 3x + 5

    ReplyDelete
  48. computationMarch 12, 2009 at 4:39 PM

    question1...
    (5x+3)(x+7)
    =5x^2+35x+3x+21
    we add (35x+3x)
    getting 5x^2+35x+21

    ReplyDelete
  49. computationMarch 12, 2009 at 4:42 PM

    2. (10x+2)(-1x+20)
    = -10x^2+200x-2x+40
    200x-2x
    = 198x
    therefore we should get
    -10x^2+198x+40

    ReplyDelete
  50. computationMarch 12, 2009 at 4:48 PM

    6. (xy-x)(3x+xy)
    3x^2+x^2y^2-3x^2+x^2y
    adding x^2y^2-3x^2
    =xy^2
    which= 3x^2y+x^2y-x^2y

    ReplyDelete
  51. computationMarch 12, 2009 at 4:51 PM

    9. (a+b)(a-b)
    a^2-ab+ab-b^2
    adding -ab+ab
    = 0
    therefore we should get
    =a^2-b^2

    ReplyDelete
  52. computationMarch 12, 2009 at 4:53 PM

    10.(22i-10)(4i-3)
    88i^2-66i-40i+30
    = -66i-40i
    = -106i
    = 88i^2-106i+30

    ReplyDelete
  53. computationMarch 12, 2009 at 8:21 PM

    8. (100t+12)(52t-12)
    in this eqn' we first mulitply (100t*52t) an (100t*12)
    then (12*52t)an(12*12)
    =5200t^2-1200t+624t-144
    add (-1200t+644t)
    =-556
    =5200t^2-576t-144

    ReplyDelete
  54. sky captainMarch 14, 2009 at 12:29 PM

    solution for Q.2
    = [10x + 2][-1x + 20]
    = [-10x^2 + 200x -2x +40 +200x - 2x.
    = 198x
    therefore the answer is: [-10x ^2 +198x +40]

    ReplyDelete
  55. Hellscream!!!March 15, 2009 at 10:58 PM

    1)

    (5x+3)(x+7)

    5x^2 + 35x + 3x + 21

    5x^2 + 38x +21

    ReplyDelete
  56. Hellscream!!!March 15, 2009 at 11:03 PM

    (100t + 12) (52t - 12)

    5200t^2 - 1200t + 624t - 144

    5200t^2 - 1824t - 144

    ReplyDelete
  57. Hellscream!!!March 15, 2009 at 11:09 PM

    (xy - x) (3x + xy)

    3x^2y + x^2y^2 - 3x^2 - x^2y

    - 3x^2 + 3x^2y + y

    im not to sure about that one!

    ReplyDelete
  58. AnonymousMarch 17, 2009 at 7:34 AM

    (100t + 12) (52t - 12 )
    5200t^2 - 1200t + 624t - 144

    >> 5200t^2 - 1824t - 144

    ReplyDelete
  59. AnonymousMarch 17, 2009 at 5:04 PM

    3.
    (y-5)(y+5)
    y^2 + (5y - 5y)- 25
    >>y^2 - 25

    ReplyDelete
  60. LykkeMarch 17, 2009 at 5:32 PM

    when expanding loops are used to ensure accurate calculations.when expanding the like terms are grouped together knowns with knowns and unknowns with unknowns.pay close attention for signs remember that the sign in front the number always goes with it.
    (5x+3)(x+7)
    5x(x+7)+3(x+7)
    =5x^2+35x+3x+21
    =5x^2+38x+21

    ReplyDelete
  61. starApril 21, 2009 at 4:59 PM

    Question1)
    (5x+3)(x+7)
    5x^2+35x+3x+21
    5x^2+38x+21

    ReplyDelete
  62. starApril 21, 2009 at 5:02 PM

    question2)

    (10x+2)(-1x+20)
    -10x^2+200x-2x+40
    -10x^2+198x+40

    ReplyDelete
  63. starApril 21, 2009 at 5:06 PM

    ques.. 3)

    (y-5)(y+5)
    y^2+5y-5y-25
    y^2-25

    ReplyDelete
  64. starApril 21, 2009 at 5:08 PM

    question 4)

    (3w+1)(3x+5)
    9wx(15w+3x)+5
    9wx+18wx+5

    ReplyDelete
  65. starApril 21, 2009 at 5:11 PM

    question 5)

    (11u-11)(6u-1)
    66u^2(-11u-66u+11)
    66u^2-77u+11

    ReplyDelete
  66. starApril 21, 2009 at 5:17 PM

    quetion 6)

    (xy-x)(3x+xy)

    3yx^2(x^2y^2-3x^2)-x^2y

    ReplyDelete
  67. starApril 21, 2009 at 5:20 PM

    question 7)

    (30r+8)(2r+5)
    60r^2(150r+16r)+40
    60r^2+166r+40

    ReplyDelete

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