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