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    Finding the Second Derivative of a Function

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    How did the book get from here:

    -2X(1+x^2)^2 - 4X(1-x^2)(1+x^2)
    ______________________________
    (1 + x^2)^4

    to here?

    -2x (1+ x^2)[1+x^2+2(1-x^2]
    ___________________________
    (1+x^2)^4

    I have worked and reworked and I cannot get that numerator to become that. What is the deal?

    (This is in the middle of trying to find the second derivative of a function, although I don't believe that should make a difference as I am still plowing through the algebra here)

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    https://brainmass.com/math/calculus-and-analysis/finding-second-derivative-function-38594

    Solution Preview

    see attachment pls.

    This is Algebra that is part of a calculus problem
    ________________________________________
    How did the book get from here:

    -2X(1+x^2)^2 - 4X(1-x^2)(1+x^2)
    ______________________________
    ...

    Solution Summary

    The second derivative of a function is found.

    $2.49

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