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Math Help - multiplying two fractions

  1. #1
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    multiplying two fractions

    (1/acrtan(x)) * (1/1+x^2)

    do I multiply each fraction by the opposite denominator to get a common denominator and then multiply the numerator together?

    [(1+x^2)(acrtan(x))] / (arctan(x)*(1+x^2)

    but they don't cancel out right?

    does it equal [arctan(x) + x^2acrtan(x)] /arctan(x) (1+x^2) ????? It doesn't seem right at all.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by bgonzal8 View Post
    (1/acrtan(x)) * (1/1+x^2)

    do I multiply each fraction by the opposite denominator to get a common denominator and then multiply the numerator together?

    [(1+x^2)(acrtan(x))] / (arctan(x)*(1+x^2)

    but they don't cancel out right?

    does it equal [arctan(x) + x^2acrtan(x)]/arctan(x) (1+x^2) ????? It doesn't seem right at all.
    \frac{1}{\arctan{x}}\cdot\frac{1}{(1+x^2)}=\frac{1  }{(\arctan{x})(1+x^2)}=\frac{1}{\arctan{x}+x^2\arc  tan{x}}.

    I'm not quite sure why you'd want to multiply out and actually make the expression less simple...
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