Solve 3/ab-2/ab^2

$$\frac { 3 } { a b } - \frac { 2 } { a b ^ { 2 } }$$

Evaluate

$$\frac{3b-2}{ab^{2}}$$

Solution Steps

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

$$\frac{3b}{ab^{2}}-\frac{2}{ab^{2}}$$

Since \frac{3b}{ab^{2}} and \frac{2}{ab^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3b-2}{ab^{2}}$$

Differentiate w.r.t. b

$$\frac{4-3b}{ab^{3}}$$