Solve 2/a+4/b^2

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

Evaluate

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

Short Solution Steps

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

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

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

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

Factor

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