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Math Help - Factorization

  1. #1
    Junior Member
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    Smile Factorization

    Here are some questions that I can't solve...
    factorization:
    1.a^2x+2+2a^2+x
    2.-(3+a)(5-b)+3c(b-5)
    3.-a-b+3ab+3a^2
    4.x^2-y^2+x-y
    5.x^2-y^2+3x+3y
    6.2c^2-8d^2+c-2d

    That's all, hope you can help me
    Thanks
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  2. #2
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    Quote Originally Posted by dgolverk
    Here are some questions that I can't solve...
    factorization:
    1.a^2x+2+2a^2+x
    2.-(3+a)(5-b)+3c(b-5)
    3.-a-b+3ab+3a^2
    4.x^2-y^2+x-y
    5.x^2-y^2+3x+3y
    6.2c^2-8d^2+c-2d

    That's all, hope you can help me
    Thanks
    Hello,

    with your problems, you always have to seek equal factors at two summands:

    to 1: a^2x+2+2a^2+x=x(a^2+1)+2(a^2+1)=(a^2+1)(x+2)
    to 2: -(3+a)(5-b)+3c(b-5)=(b-5)(3+a+3c)
    to 3: -a-b+3ab+3a^2=-(a+b)+3a(a+b)=(a+b)(3a-1)
    to 4: x^2-y^2+x-y=(x+y)(x-y)+(x-y)=
    (x-y)(x+y+1)
    to 5: x^2-y^2+3x+3y=(x+y)(x-y)+3(x+y)=
    (x+y)(x-y+3)
    to 6: 2c^2-8d^2+c-2d=2(c+2d)(c-2d)+(c+2d)=
    (c-2d(2c+4d+1)

    Hope this was of some help.

    Greetings

    EB
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  3. #3
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    Smile Thanks,

    That was exactly what I was looking for
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  4. #4
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    Smile Hmm..

    While doing my homework I found 3 more problems...
    1.3x(a-b)+4y(b-a) I don't understand how can I make two (b-a) or (a-b)
    2.24X^2(d-c)+3x^2(-d+c)
    3.3(a+b-c)-d(a+b-c)

    Those are the 3 last questions in my homework...
    Thanks again for helping!
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  5. #5
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    Quote Originally Posted by dgolverk
    While doing my homework I found 3 more problems...
    1.3x(a-b)+4y(b-a) I don't understand how can I make two (b-a) or (a-b)
    2.24X^2(d-c)+3x^2(-d+c)
    3.3(a+b-c)-d(a+b-c)

    Those are the 3 last questions in my homework...
    Thanks again for helping!
    Hello,

    it's me again:

    to 1.: (b-a)=(-1)(a-b)
    3x(a-b)+4y(b-a) =(a-b)(3x-4y)
    to 2.: 24x^2(d-c)+3x^2(-d+c)=(d-c)(24x^2-3x^2)=
    21x^2 \cdot (d-c)
    to 3.: 3(a+b-c)-d(a+b-c)= (a+b-c)(3-d)

    Nice Weekend to you.

    Greetings

    EB
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  6. #6
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    Smile Thanks

    I made a mistake in the last question it supposed to be like that:
    3(a+b+c)-d(a+b-c)

    What is the answer for that one?

    and those:
    x^3-xy^2+y^2+xy

    x^4-y^4+y-x
    Last edited by dgolverk; March 18th 2006 at 09:44 AM.
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  7. #7
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    Smile

    guys it's really urgent, that's for tomorrow...
    Thanks
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