Mathematics, 01.12.2020 06:20 kacr7292
(2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4)
The two terms in the numerator are 2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)
and -x(x^2-9)^(1/3) (x^2+4)^((-1)/2)
Dividing the first term with the denominator (x^2+4), you get: 2/3 (x^2+4)^(-(1)/2) (x^2-9)^((-2)/3)
Dividing the second term with the denominator, you get: -x(x^2-9)^(1/3) (x^2+4)^((-3)/2)
So, combining the results(that is adding them), the answer is
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(2/3 (x^2+4)^(1/2) (x^2-9)^((-2)/3)-x(x^2-9)^(1/3) (x^2+4)^((-1)/2))/(x^2+4)
The two terms in the n...
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