What is expand (1-2x^2)/((x^2+1)^{5/2)} ?

The solution to expand (1-2x^2)/((x^2+1)^{5/2)} is 1/((x^2+1)^{5/2)}-(2x^2)/((x^2+1)^{5/2)}

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expand (1-2x^2)/((x^2+1)^{5/2)}

expand

\frac{1 - 2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

\frac{1}{( x ^{2} + 1 ) ^{\frac{5}{2}}} - \frac{2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

Solution steps

\frac{1 - 2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{1 - 2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}} = \frac{1}{( x ^{2} + 1 ) ^{\frac{5}{2}}} - \frac{2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

= \frac{1}{( x ^{2} + 1 ) ^{\frac{5}{2}}} - \frac{2 x ^{2}}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

(cot (x) - 1) (3 cot (x) - 1)

(x^{2} - \frac{2}{x})^{5}

(- 4, - 1) u (- 1, 2)

(x^{5} + \frac{3}{5}) (x^{5} + \frac{1}{10})

lo g_{10} (3) (x + 4)

What is expand (1-2x^2)/((x^2+1)^{5/2)} ?
The solution to expand (1-2x^2)/((x^2+1)^{5/2)} is 1/((x^2+1)^{5/2)}-(2x^2)/((x^2+1)^{5/2)}