Solve 4/a^2+4/b^2

$$\frac { 4 } { a ^ { 2 } } + \frac { 4 } { b ^ { 2 } }$$

Evaluate

$$\frac{4\left(a^{2}+b^{2}\right)}{\left(ab\right)^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of a^{2} and b^{2} is a^{2}b^{2}. Multiply \frac{4}{a^{2}} times \frac{b^{2}}{b^{2}}. Multiply \frac{4}{b^{2}} times \frac{a^{2}}{a^{2}}.

$$\frac{4b^{2}}{a^{2}b^{2}}+\frac{4a^{2}}{a^{2}b^{2}}$$

Since \frac{4b^{2}}{a^{2}b^{2}} and \frac{4a^{2}}{a^{2}b^{2}} have the same denominator, add them by adding their numerators.

$$\frac{4b^{2}+4a^{2}}{a^{2}b^{2}}$$

Factor

$$\frac{4\left(\frac{a^{2}}{b^{2}}+1\right)}{a^{2}}$$