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Math Help - Common Factor

  1. #1
    Junior Member
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    Common Factor

    Hi
    For the following equations
    Y=x+x^2-x^4
    do the following steps are correct ?
    x+(x-x^2)(x+x^2)
    x+x(1-x)(1+x)
    x[1+1-x^2]
    x[2-x^2]

    Thank you
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  2. #2
    Super Member
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    Smile

    Quote Originally Posted by metallica007 View Post
    Hi
    For the following equations
    Y=x+x^2-x^4
    do the following steps are correct ?
    x+(x-x^2)(x+x^2)
    x+x(1-x)(1+x)
    x[1+1-x^2]
    x[2-x^2]

    Thank you
    that's not correct.
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  3. #3
    Super Member Bacterius's Avatar
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    Wellington
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    No. The common factor is just x.

    Y=x+x^2-x^4

    Y = x(1 + x - x^3)

    --------------

    When you are unsure about a result, just try with some numbers. With your result, what you are saying is that :

    x + x^2 - x^4 = x(2 - x^2)

    Take x = 2. Thus we get :

    2 + 2^2 - 2^4 = 2(2 - 2^2)

    And therefore your results suggests that -10 = -4

    But -10 \neq -4, thus your result is wrong.
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  4. #4
    Super Member
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    Quote Originally Posted by metallica007 View Post
    Hi
    For the following equations
    Y=x+x^2-x^4
    do the following steps are correct ?
    x+(x-x^2)(x+x^2)
    x+x(1-x)(1+x) <.... here's your problem
    (what follows is wrong)
    x[1+1-x^2]
    x[2-x^2]

    Thank you
    x+(x-x^2)(x+x^2)=x+x^2(1-x)(1+x)=x(1+x(1-x)(1+x))
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  5. #5
    Junior Member
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    Quote Originally Posted by Raoh View Post
    x+(x-x^2)(x+x^2)=x+x^2(1-x)(1+x)=x(1+x(1-x)(1+x))
    Thank you for show me the problem
    I was not sure about that step
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