Question

Solve x^4+1/x^3+x into partial fractions

Answer 1

$\frac{ x^{4} + 1}{ x^{3} + x}$

$\frac{ x^{4} - 1}{ x^{3} + x} + \frac{2}{ x^{3} + x}$

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

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

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

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