Solve -x^2/16x^2-25y^2

$$\frac { - x ^ { 2 } } { 16 } x ^ { 2 } - 25 y ^ { 2 }$$

Evaluate

$$-\frac{x^{4}}{16}-25y^{2}$$

Short Solution Steps

Express \frac{-x^{2}}{16}x^{2} as a single fraction.

$$\frac{\left(-x^{2}\right)x^{2}}{16}-25y^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -25y^{2} times \frac{16}{16}.

$$\frac{\left(-x^{2}\right)x^{2}}{16}+\frac{16\left(-25\right)y^{2}}{16}$$

Since \frac{\left(-x^{2}\right)x^{2}}{16} and \frac{16\left(-25\right)y^{2}}{16} have the same denominator, add them by adding their numerators.

$$\frac{\left(-x^{2}\right)x^{2}+16\left(-25\right)y^{2}}{16}$$

Do the multiplications in \left(-x^{2}\right)x^{2}+16\left(-25\right)y^{2}.

$$\frac{-x^{4}-400y^{2}}{16}$$

Factor

$$\frac{-x^{4}-400y^{2}}{16}$$

Solution Steps

Factor out \frac{1}{16}.

$$\frac{-x^{2}x^{2}-400y^{2}}{16}$$