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\frac{6}{x\left(x+3\right)}+\frac{9}{x}
Factor x^{2}+3x.
\frac{6}{x\left(x+3\right)}+\frac{9\left(x+3\right)}{x\left(x+3\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x\left(x+3\right) and x is x\left(x+3\right). Multiply \frac{9}{x} times \frac{x+3}{x+3}.
\frac{6+9\left(x+3\right)}{x\left(x+3\right)}
Since \frac{6}{x\left(x+3\right)} and \frac{9\left(x+3\right)}{x\left(x+3\right)} have the same denominator, add them by adding their numerators.
\frac{6+9x+27}{x\left(x+3\right)}
Do the multiplications in 6+9\left(x+3\right).
\frac{33+9x}{x\left(x+3\right)}
Combine like terms in 6+9x+27.
\frac{33+9x}{x^{2}+3x}
Expand x\left(x+3\right).