Solve 2/d+1/d-1/d^2

$$\frac { 2 } { d } + \frac { 1 } { d } - \frac { 1 } { d ^ { 2 } }$$

Evaluate

$$\frac{3d-1}{d^{2}}$$

Solution Steps

Since \frac{2}{d} and \frac{1}{d} have the same denominator, add them by adding their numerators. Add 2 and 1 to get 3.

$$\frac{3}{d}-\frac{1}{d^{2}}$$

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

$$\frac{3d}{d^{2}}-\frac{1}{d^{2}}$$

Since \frac{3d}{d^{2}} and \frac{1}{d^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3d-1}{d^{2}}$$

Factor

$$\frac{3d-1}{d^{2}}$$