Solve 1/a^3+1/b^3

$$\frac { 1 } { a ^ { 3 } } + \frac { 1 } { b ^ { 3 } }$$

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{3} and b^{3} is a^{3}b^{3}. Multiply \frac{1}{a^{3}} times \frac{b^{3}}{b^{3}}. Multiply \frac{1}{b^{3}} times \frac{a^{3}}{a^{3}}.

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

Since \frac{b^{3}}{a^{3}b^{3}} and \frac{a^{3}}{a^{3}b^{3}} have the same denominator, add them by adding their numerators.

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

Factor

$$\frac{\frac{a^{3}}{b^{3}}+1}{a^{3}}$$