Solve 2/a^2+1/a+3/a^3Rightarrow

$$\frac { 2 } { a ^ { 2 } } + \frac { 1 } { a } + \frac { 3 } { a ^ { 3 } } \Rightarrow$$

Evaluate

$$\frac{a^{2}+2a+3}{a^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2} and a is a^{2}. Multiply \frac{1}{a} times \frac{a}{a}.

$$\frac{2}{a^{2}}+\frac{a}{a^{2}}+\frac{3}{a^{3}}$$

Since \frac{2}{a^{2}} and \frac{a}{a^{2}} have the same denominator, add them by adding their numerators.

$$\frac{2+a}{a^{2}}+\frac{3}{a^{3}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2} and a^{3} is a^{3}. Multiply \frac{2+a}{a^{2}} times \frac{a}{a}.

$$\frac{\left(2+a\right)a}{a^{3}}+\frac{3}{a^{3}}$$

Since \frac{\left(2+a\right)a}{a^{3}} and \frac{3}{a^{3}} have the same denominator, add them by adding their numerators.

$$\frac{\left(2+a\right)a+3}{a^{3}}$$

Do the multiplications in \left(2+a\right)a+3.

$$\frac{2a+a^{2}+3}{a^{3}}$$

Factor

$$\frac{a^{2}+2a+3}{a^{3}}$$