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Math Help - Tough simplifying

  1. #1
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    Tough simplifying

    Simplify y = [-\frac{2(\sqrt{x}-2)^2(x-1)}{\sqrt{x}-4}] - 1
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  2. #2
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    Quote Originally Posted by Punch View Post
    Simplify y = [-\frac{2(\sqrt{x}-2)^2(x-1)}{\sqrt{x}-4}] - 1
    The first obvious step would be to add the fractions:
    y= -\frac{2(\sqrt{x}-2)^2(x-1)+ \sqrt{x- 4}}{\sqrt{x}-4} but I don't see that very much "simplifying" can be done.
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  3. #3
    Super Member Bacterius's Avatar
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    Shouldn't it be y= -\frac{2(\sqrt{x}-2)^2(x-1)- \sqrt{x} + 4}{\sqrt{x}-4} ?
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  4. #4
    Member mathemagister's Avatar
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    Quote Originally Posted by Bacterius View Post
    Shouldn't it be y= -\frac{2(\sqrt{x}-2)^2(x-1)- \sqrt{x} + 4}{\sqrt{x}-4} ?
    Yes, it was probably just a latex typo.

    And Punch:
    If you want, you could do that and expand the brackets on the numerator. You will find that a few terms (like the x^1 terms) will cancel and you can play around with the indices (the square roots that pop up).
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