Evaluate
\frac{x^{2}+4x+24}{x\left(x+6\right)}
Factor
\frac{x^{2}+4x+24}{x\left(x+6\right)}
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\frac{4\left(x+6\right)}{x\left(x+6\right)}+\frac{xx}{x\left(x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+6 is x\left(x+6\right). Multiply \frac{4}{x} times \frac{x+6}{x+6}. Multiply \frac{x}{x+6} times \frac{x}{x}.
\frac{4\left(x+6\right)+xx}{x\left(x+6\right)}
Since \frac{4\left(x+6\right)}{x\left(x+6\right)} and \frac{xx}{x\left(x+6\right)} have the same denominator, add them by adding their numerators.
\frac{4x+24+x^{2}}{x\left(x+6\right)}
Do the multiplications in 4\left(x+6\right)+xx.
\frac{4x+24+x^{2}}{x^{2}+6x}
Expand x\left(x+6\right).
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Limits
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