Solve 4/x^2y-3/5xy

$$\frac { 4 } { x ^ { 2 } y } - \frac { 3 } { 5 x y }$$

Evaluate

$$-\frac{3x-20}{5yx^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2}y and 5xy is 5yx^{2}. Multiply \frac{4}{x^{2}y} times \frac{5}{5}. Multiply \frac{3}{5xy} times \frac{x}{x}.

$$\frac{4\times 5}{5yx^{2}}-\frac{3x}{5yx^{2}}$$

Since \frac{4\times 5}{5yx^{2}} and \frac{3x}{5yx^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 5-3x}{5yx^{2}}$$

Do the multiplications in 4\times 5-3x.

$$\frac{20-3x}{5yx^{2}}$$

Factor

$$-\frac{3x-20}{5yx^{2}}$$