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

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

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

expand

\frac{- 2 \cdot x ^{2} + 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}}}

Solution steps

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

Apply the fraction rule:

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

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

(10 x - 3 y = 3, 6) - (2 x + 5 y = - 4)

y + (\frac{127.5}{( 4 y + 1.5 y ^{2} ) ^{2}}) - 3.196

\frac{6 e ^{- 5 π s} s + 1 - e ^{- 14 s} + 48 s}{s ( s ^{2} + 64 )}

\frac{( x - 2 ) ^{2}}{16}

5 (3 + 9)

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