Solve x^2/4y^2-1/9

$$\frac { x ^ { 2 } } { 4 y ^ { 2 } } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{\left(\frac{x}{y}\right)^{2}}{4}-\frac{1}{9}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4y^{2} and 9 is 36y^{2}. Multiply \frac{x^{2}}{4y^{2}} times \frac{9}{9}. Multiply \frac{1}{9} times \frac{4y^{2}}{4y^{2}}.

$$\frac{9x^{2}}{36y^{2}}-\frac{4y^{2}}{36y^{2}}$$

Since \frac{9x^{2}}{36y^{2}} and \frac{4y^{2}}{36y^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9x^{2}-4y^{2}}{36y^{2}}$$

Factor

$$\frac{9x^{2}-4y^{2}}{36y^{2}}$$