Solve 4x-3y/6-x^2-yx

$$\frac { 4 x - 3 y } { 6 } - x ^ { 2 } - y x$$

Evaluate

$$-xy-x^{2}+\frac{2x}{3}-\frac{y}{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -x^{2}-yx times \frac{6}{6}.

$$\frac{4x-3y}{6}+\frac{6\left(-x^{2}-yx\right)}{6}$$

Since \frac{4x-3y}{6} and \frac{6\left(-x^{2}-yx\right)}{6} have the same denominator, add them by adding their numerators.

$$\frac{4x-3y+6\left(-x^{2}-yx\right)}{6}$$

Do the multiplications in 4x-3y+6\left(-x^{2}-yx\right).

$$\frac{4x-3y-6x^{2}-6yx}{6}$$

Expand

$$-xy-x^{2}+\frac{2x}{3}-\frac{y}{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -x^{2}-yx times \frac{6}{6}.

$$\frac{4x-3y}{6}+\frac{6\left(-x^{2}-yx\right)}{6}$$

Since \frac{4x-3y}{6} and \frac{6\left(-x^{2}-yx\right)}{6} have the same denominator, add them by adding their numerators.

$$\frac{4x-3y+6\left(-x^{2}-yx\right)}{6}$$

Do the multiplications in 4x-3y+6\left(-x^{2}-yx\right).

$$\frac{4x-3y-6x^{2}-6yx}{6}$$