What is expand (3x+1)/((x^2+1)^{3/2)} ?

The solution to expand (3x+1)/((x^2+1)^{3/2)} is (3x)/((x^2+1)^{3/2)}+1/((x^2+1)^{3/2)}

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expand (3x+1)/((x^2+1)^{3/2)}

expand

\frac{3 x + 1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

\frac{3 x}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + \frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

Solution steps

\frac{3 x + 1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

Apply the fraction rule:

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

\frac{3 x + 1}{( x ^{2} + 1 ) ^{\frac{3}{2}}} = \frac{3 x}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + \frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

= \frac{3 x}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + \frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}}

(\frac{3}{4} e^{t} + \frac{1}{4})^{10}

(\frac{( x + 1 )}{2 x})^{9}

P (1, - 4) y

- \frac{4}{( s + 1 ) ( s + 2 ) ( s - 1 )}

\frac{- 4 x ^{3} - 10 x ^{2} - 4 x + 2}{( x ^{2} + 1 ) ^{4}}

What is expand (3x+1)/((x^2+1)^{3/2)} ?
The solution to expand (3x+1)/((x^2+1)^{3/2)} is (3x)/((x^2+1)^{3/2)}+1/((x^2+1)^{3/2)}