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Math Help - Simplifying

  1. #1
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    Simplifying

    I need help solving this. Please show all steps. Thanks!

    Simplify x^2(1-2x^3)^-1/2(-3x^2) + (1-2x^3)^1/2(2x)
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by cam_ddrt View Post
    I need help solving this. Please show all steps. Thanks!

    Simplify x^2(1-2x^3)^-1/2(-3x^2) + (1-2x^3)^1/2(2x)
    Hi cam_ddrt,

    Is this your problem?

    x^2(1-2x^3)^{-\frac{1}{2}}(-3x^2)+(1-2x^3)^{\frac{1}{2}}(2x)

    Or is it this:

    x^2(1-2x^3)^{-\frac{1}{2}(-3x^2)}+(1-2x^3)^{\frac{1}{2}(2x)}
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  3. #3
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    It's the first one
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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by masters View Post
    Hi cam_ddrt,

    Is this your problem?

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

    \frac{-3x^4+2x-4x^4}{(1-2x^3)^{\frac{1}{2}}}=\frac{-7x^4+2x}{(1-2x^3)^{\frac{1}{2}}}=

    Can you see where this thing is going? Maybe you can factor an x out of the numerator, but I don't see much more simplification here. Maybe you could try rationalizing the denominator.
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