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sarsar56

  • 3 years ago

Factor: 4x2 - 9y2

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  1. bahrom7893
    • 3 years ago
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    okay use this formula: a^2-b^2=(a-b)(a+b)

  2. bahrom7893
    • 3 years ago
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    ur a=2x, b=3y

  3. jimmyrep
    • 3 years ago
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    difference of 2 squares

  4. jim_thompson5910
    • 3 years ago
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    This is a difference of squares: A^2-B^2=(A+B)(A-B) In this case, A=2x and B=3y So 4x^2-9y^2=(2x+3y)(2x-3y)

  5. bahrom7893
    • 3 years ago
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    Plug that in and get the answer, this is simple, you can doit yourself

  6. bahrom7893
    • 3 years ago
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    and jim, guide them but don't post the answers, i think they should do it themselves.

  7. bahrom7893
    • 3 years ago
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    What I mean is tell them what to do.

  8. sarsar56
    • 3 years ago
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    i really wish i understood all of this lol

  9. jim_thompson5910
    • 3 years ago
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    true, but I find it helps to step them through it

  10. bahrom7893
    • 3 years ago
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    sarsar56, you will need this in your future life.

  11. Roh
    • 3 years ago
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    it weill be (2x+3y)(2x-3y)

  12. jim_thompson5910
    • 3 years ago
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    if not sarsar, let me know

  13. sarsar56
    • 3 years ago
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    9x^2+16 so how would id o this one

  14. bahrom7893
    • 3 years ago
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    Well jim we already factored a couple of problems. Like see what i mean, tell them to use this formula: a^2-b^2 = (a-b)(a+b) Tell them to observe that: 4x2 - 9y2 = (2x)^2-(3y)^2, and tell them to do the substitution to factor.

  15. bahrom7893
    • 3 years ago
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    Sarsar I don't think that's factorable.

  16. bahrom7893
    • 3 years ago
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    Wait we can complete the square

  17. jim_thompson5910
    • 3 years ago
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    you can complete the square, but that won't make it factorable

  18. sarsar56
    • 3 years ago
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    how do u know if something is not factorablw

  19. Roh
    • 3 years ago
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    thi will be like this (3x+4)(3x-4)

  20. bahrom7893
    • 3 years ago
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    I think it can be factored

  21. jim_thompson5910
    • 3 years ago
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    if you have a sum of squares, then it is NOT factorable.

  22. sarsar56
    • 3 years ago
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    whats a sum of squares

  23. bahrom7893
    • 3 years ago
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    9x^2+16 (3x)^2 + 2*3x*4 + 4^2 - 2*3x*4

  24. bahrom7893
    • 3 years ago
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    (3x+4)^2-24x

  25. jim_thompson5910
    • 3 years ago
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    a square is any expression that can be represented by squaring another expression. For example, 4 is a square of 2 since 2 squared = 4 Also, 4x^2 = (2x)^2 is another square

  26. Roh
    • 3 years ago
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    ouch i am sorry i thought there is minuse so sorry!!!

  27. bahrom7893
    • 3 years ago
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    And then: (3x+4-sqrt(24x))(3x+4+sqrt(24x))

  28. bahrom7893
    • 3 years ago
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    I mean that just makes it uglier haha

  29. jim_thompson5910
    • 3 years ago
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    but when they say "factorable", they mean over the rationals.

  30. jim_thompson5910
    • 3 years ago
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    and you forgot the imaginary terms, which makes it even worse

  31. bahrom7893
    • 3 years ago
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    oh i guess, i mean i never learned how u guys do it here in the US.

  32. sarsar56
    • 3 years ago
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    i kind of see it but not really ):

  33. jim_thompson5910
    • 3 years ago
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    don't worry about it, 9x^2+16 is NOT factorable

  34. sarsar56
    • 3 years ago
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    how about this one 2xy-xz+2wy-wz

  35. bahrom7893
    • 3 years ago
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    Okay sarsar observe what is similar in the equation

  36. sarsar56
    • 3 years ago
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    which would b the 2y?

  37. bahrom7893
    • 3 years ago
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    2xy-xz+2wy-wz 2xy+2wy-xz-wz 2y(x+w)-z(x+w)

  38. bahrom7893
    • 3 years ago
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    So: (x+w)(2y-z)

  39. Roh
    • 3 years ago
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    i think u can do like this : 9x^2 +9+7 then we wil factor : 9(x^2+1)+7 then:( 9+7)(x^2+1)

  40. Roh
    • 3 years ago
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    am i right?

  41. sarsar56
    • 3 years ago
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    4ax + 8ay + 3bx + 6by so like in this one, do i start by taking out the GCF?

  42. jim_thompson5910
    • 3 years ago
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    sorry Roh, that's not the correct factorization. You can verify that by expanding

  43. bahrom7893
    • 3 years ago
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    no u pulled out 9+7, u can't do that

  44. jim_thompson5910
    • 3 years ago
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    first, group terms (4ax + 8ay) + (3bx + 6by)

  45. jim_thompson5910
    • 3 years ago
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    what comes next?

  46. Roh
    • 3 years ago
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    mmmm yeah ur right bahroom

  47. bahrom7893
    • 3 years ago
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    Jim where did u get that one from?

  48. jim_thompson5910
    • 3 years ago
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    which one?

  49. bahrom7893
    • 3 years ago
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    oh u just took it as an example? I see was talkin about this (4ax + 8ay) + (3bx + 6by)

  50. sarsar56
    • 3 years ago
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    ahhhhh im confused lol

  51. bahrom7893
    • 3 years ago
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    I think ima leave, having too much people to help confuses others

  52. bahrom7893
    • 3 years ago
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    *too many

  53. Roh
    • 3 years ago
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    yoou can factor it by group factoring sarsar no confusing is needed let me do it

  54. jim_thompson5910
    • 3 years ago
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    4ax + 8ay + 3bx + 6by (4ax + 8ay) + (3bx + 6by) 4a(x + 2y) + 3b(x + 2y) (4a+3b)(x + 2y)

  55. sarsar56
    • 3 years ago
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    4ax + 8ay + 3bx + 6by ok so u group the terms (4ax+8ay) (3bx+6by)

  56. jim_thompson5910
    • 3 years ago
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    first group the terms, then pull out the GCF from each group. From there, combine like terms.

  57. Roh
    • 3 years ago
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    4a(x+2y)+3b(x+2y) (x+2y)(4a+3b)

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