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Math Help - [SOLVED] quick question on simplifying

  1. #1
    Member smmmc's Avatar
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    [SOLVED] quick question on simplifying

    hey

    Please simplify:

    (2x-1) square root 2x-1


    thanks
    Last edited by mr fantastic; July 18th 2009 at 03:53 AM. Reason: Changed post title, wrote the question that should have accompanied the expression
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  2. #2
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    = (2x - 1)\sqrt{(2x + 1)}

    = \sqrt{((2x + 1)}(2x - 1)^2)

    = \sqrt{((2x + 1)}(4x^2 - 4x + 1))

    =  \sqrt{(8x^3 - 8x^2 + 2x + 4x^2 - 4x + 1)}

    = \sqrt{(8x^3 - 4x^2 - 2x + 1)}
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  3. #3
    Member smmmc's Avatar
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    The answer is
    (2x-1)^3/2 at the back of the book
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  4. #4
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    Quote Originally Posted by smmmc View Post
    The answer is
    (2x-1)^3/2 at the back of the book
    That's because A Beautiful Mind misread the problem.

    (2x - 1)\sqrt{2x - 1}
    \begin{aligned}<br />
&= (2x - 1)(2x - 1)^{1/2} \\<br />
&= (2x - 1)^{3/2}<br />
\end{aligned}


    01
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