Solve (-x^2/4+2y^2)=

$$( - \frac { x ^ { 2 } } { 4 } + 2 y ^ { 2 } ) =$$

Evaluate

$$-\frac{x^{2}}{4}+2y^{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2y^{2} times \frac{4}{4}.

$$-\frac{x^{2}}{4}+\frac{4\times 2y^{2}}{4}$$

Since -\frac{x^{2}}{4} and \frac{4\times 2y^{2}}{4} have the same denominator, add them by adding their numerators.

$$\frac{-x^{2}+4\times 2y^{2}}{4}$$

Do the multiplications in -x^{2}+4\times 2y^{2}.

$$\frac{-x^{2}+8y^{2}}{4}$$

Factor

$$\frac{8y^{2}-x^{2}}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{-x^{2}+8y^{2}}{4}$$