Solve x^2/25-y^2/4-1

$$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 4 } - 1$$

Evaluate

$$\frac{x^{2}}{25}-\frac{y^{2}}{4}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 4 is 100. Multiply \frac{x^{2}}{25} times \frac{4}{4}. Multiply \frac{y^{2}}{4} times \frac{25}{25}.

$$\frac{4x^{2}}{100}-\frac{25y^{2}}{100}-1$$

Since \frac{4x^{2}}{100} and \frac{25y^{2}}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x^{2}-25y^{2}}{100}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{100}{100}.

$$\frac{4x^{2}-25y^{2}}{100}-\frac{100}{100}$$

Since \frac{4x^{2}-25y^{2}}{100} and \frac{100}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4x^{2}-25y^{2}-100}{100}$$

Factor

$$\frac{4x^{2}-25y^{2}-100}{100}$$

Solution Steps

Factor out \frac{1}{100}.

$$\frac{4x^{2}-25y^{2}-100}{100}$$