Evaluate
\frac{2x^{2}+5x+20}{x\left(x+4\right)}
Factor
\frac{2x^{2}+5x+20}{x\left(x+4\right)}
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\frac{5\left(x+4\right)}{x\left(x+4\right)}+\frac{2xx}{x\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+4 is x\left(x+4\right). Multiply \frac{5}{x} times \frac{x+4}{x+4}. Multiply \frac{2x}{x+4} times \frac{x}{x}.
\frac{5\left(x+4\right)+2xx}{x\left(x+4\right)}
Since \frac{5\left(x+4\right)}{x\left(x+4\right)} and \frac{2xx}{x\left(x+4\right)} have the same denominator, add them by adding their numerators.
\frac{5x+20+2x^{2}}{x\left(x+4\right)}
Do the multiplications in 5\left(x+4\right)+2xx.
\frac{5x+20+2x^{2}}{x^{2}+4x}
Expand x\left(x+4\right).
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Limits
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