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Thread: factorization

  1. #1
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    factorization

    okay here is some of the questions i couldn't do

    factorize the following fully

    a) 8(m^2)+4m+2
    b) (x^2)-3xy-4(y^2)-6x-6y
    c) (x^3)-4(x^2)-12x-(x^2)y+36y
    d) (x^2)-9(y^2)-3xz-9yz
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  2. #2
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    well, is it that hard?
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  3. #3
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by requal View Post
    well, is it that hard?
    Umm no it isn't but show us what steps you have tried and then we will help.

    8m^2+4m+2

    2(4m^2+2m+1)

    2(4m^2 +2m+2m+1)

    2[2m(2m+1)+1(2m+1)]

    2(2m+1)(2m+1)
    Last edited by 11rdc11; Oct 25th 2008 at 08:10 PM.
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  4. #4
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    Quote Originally Posted by requal View Post
    okay here is some of the questions i couldn't do

    factorize the following fully

    a) 8(m^2)+4m+2
    b) (x^2)-3xy-4(y^2)-6x-6y
    c) (x^3)-4(x^2)-12x-(x^2)y+36y
    d) (x^2)-9(y^2)-3xz-9yz
    b) x^2 - 3xy - 4y^2 - 6x -6y = (x - 4y)(x+y) - 6(x+y)
     = (x+y)(x - 4y - 6)

    c) x^3 - 4x^2 - 12x - x^2y + 36y = x(x^2 - 4x -12) - y(x^2 - 36)
    =x(x-6)(x+2) -y(x-6)(x+6)
     = (x-6)[x(x+2) -y(x+6)]

    d) x^2 - 9y^2 - 3xz - 9yz = (x+3y)(x-3y) - 3z(x+3y)
     = (x+3y)(x - 3y - 3z).
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