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\frac{aa}{a}+\frac{4}{a}
To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{a}{a}.
\frac{aa+4}{a}
Since \frac{aa}{a} and \frac{4}{a} have the same denominator, add them by adding their numerators.
\frac{a^{2}+4}{a}
Do the multiplications in aa+4.