Solve 2/xy^2-3/x^2y

$$\frac { 2 } { x y ^ { 2 } } - \frac { 3 } { x ^ { 2 } y }$$

Evaluate

$$\frac{2x-3y}{\left(xy\right)^{2}}$$

Short Solution Steps

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

$$\frac{2x}{x^{2}y^{2}}-\frac{3y}{x^{2}y^{2}}$$

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

$$\frac{2x-3y}{x^{2}y^{2}}$$

Factor

$$\frac{2x-3y}{\left(xy\right)^{2}}$$