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Math Help - simplify expressiom

  1. #1
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    simplify expressiom

    1-(X+h) - 1-X
    2+(X-H) 2-X
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    Re: simplify expressiom

    Quote Originally Posted by zbest1966 View Post
    1-(X+h) - 1-X
    2+(X-H) 2-X
    First of all, are you using h and H to represent the same thing? If so, be consistent, either use all "h" or all "H".

    Next, is this your expression? \displaystyle \begin{align*} \frac{1 - (x + h)}{2 + (x - h)} - \frac{1 - x}{2 - x} \end{align*}?

    Learning a little LaTeX would help everyone...
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    Re: simplify expressiom

    [1-(x-h)](2-x) - (1-x)[2+(x+h)]
    2+(x+h) 2+x


    my ans is x^-5
    (2+x+h)(2+x)
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    Re: simplify expressiom

    im lost
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    Re: simplify expressiom

    Quote Originally Posted by zbest1966 View Post
    [1-(x-h)](2-x) - (1-x)[2+(x+h)]
    2+(x+h) 2+x
    How did all the terms in the denominator become positive? And how did you get x^{-5}?
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  6. #6
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    Re: simplify expressiom

    2x^2(x-1)
    (2+x+h)(2+x)
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    Re: simplify expressiom

    Quote Originally Posted by zbest1966 View Post
    1-(X+h) - 1-X
    2+(X-H) 2-X
    you keep changing signs in subsequent posts ... I get the feeling that this original expression has more than one sign typo.

    is this what you originally meant ???

    \frac{1-(x+h)}{2+(x+h)} - \frac{1-x}{2+x}

    if not, fix it so that maybe someone can provide you with meaningful guidance.
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  8. #8
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    Re: simplify expressiom

    Yes thats the orginal problem
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    Re: simplify expressiom

    Quote Originally Posted by zbest1966 View Post
    Yes thats the orginal problem
    The work you showed in your last post is a good first step. Just keep going...

    \frac{1-(x+h)}{2+(x+h)} - \frac{1-x}{2+x}

    =\frac{\left[1-(x+h)\right](2+x)}{\left[2+(x+h)\right](2+x)} - \frac{\left[2+(x+h)\right](1-x)}{\left[2+(x+h)\right](2+x)}

    =\frac{\left[1-(x+h)\right](2+x)-\left[2+(x+h)\right](1-x)}{\left[2+(x+h)\right](2+x)}

    Are you able to do the multiplication?
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  10. #10
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    Re: simplify expressiom

    i did that my ans

    2x^2(x-1)
    (2+x+h)(2+x)
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    Re: simplify expressiom

    Quote Originally Posted by zbest1966 View Post
    i did that my ans

    2x^2(x-1)
    (2+x+h)(2+x)
    That's not what I'm getting. It would be helpful if you showed the actual work you did to get that answer...

    \frac{\left[1-(x+h)\right](2+x)-\left[2+(x+h)\right](1-x)}{\left[2+(x+h)\right](2+x)}

    =\frac{(2+x)-\left(x^2 + 2h + 2x + hx\right)-(2-2x)-\left(x - hx - x^2 + h\right)}{\left[2+(x+h)\right](2+x)}

    =\frac{2+x-x^2-2h-2x-hx-2+2x-x+hx+x^2-h}{\left[2+(x+h)\right](2+x)}

    Now combine like terms.
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  12. #12
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    Re: simplify expressiom

    Thank you, that was a killer
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