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\frac{a^{2}+2a+2}{a}+\frac{1}{a}
Multiply 1 and 1 to get 1.
\frac{a^{2}+2a+2+1}{a}
Since \frac{a^{2}+2a+2}{a} and \frac{1}{a} have the same denominator, add them by adding their numerators.
\frac{a^{2}+2a+3}{a}
Combine like terms in a^{2}+2a+2+1.
\frac{a^{2}+2a+2}{a}+\frac{1}{a}
Multiply 1 and 1 to get 1.
\frac{a^{2}+2a+2+1}{a}
Since \frac{a^{2}+2a+2}{a} and \frac{1}{a} have the same denominator, add them by adding their numerators.
\frac{a^{2}+2a+3}{a}
Combine like terms in a^{2}+2a+2+1.