Solve 3/a+7/b^2

$$\frac { 3 } { a } + \frac { 7 } { b ^ { 2 } }$$

Evaluate

$$\frac{3}{a}+\frac{7}{b^{2}}$$

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{3}{a} times \frac{b^{2}}{b^{2}}. Multiply \frac{7}{b^{2}} times \frac{a}{a}.

$$\frac{3b^{2}}{ab^{2}}+\frac{7a}{ab^{2}}$$

Since \frac{3b^{2}}{ab^{2}} and \frac{7a}{ab^{2}} have the same denominator, add them by adding their numerators.

$$\frac{3b^{2}+7a}{ab^{2}}$$

Factor

$$\frac{3+\frac{7a}{b^{2}}}{a}$$