Simplify the expression (9/x+3/(x^2))/(x+1/x)

 Exercise

$\frac{\:\frac{9}{x}+\frac{3}{x^2}}{x+\frac{1}{x}}$

 

Combine $x+\frac{1}{x}$ in a single fraction

$\frac{\frac{9}{x}+\frac{3}{x^2}}{\frac{1+x^2}{x}}$

 

Combine $\frac{9}{x}+\frac{3}{x^2}$ in a single fraction

$\frac{\frac{3+\frac{9x^2}{x}}{x^2}}{\frac{1+x^2}{x}}$

 

Combine $3+\frac{9x^2}{x}$ in a single fraction

$\frac{\frac{\frac{9x^2+3x}{x}}{x^2}}{\frac{1+x^2}{x}}$

 

Simplify the fraction $\frac{\frac{\frac{9x^2+3x}{x}}{x^2}}{\frac{1+x^2}{x}}$

$\frac{9x^2+3x}{x^2\left(1+x^2\right)}$

$\frac{9x^2+3x}{x^2\left(1+x^2\right)}$

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