Solve 3x^2-xy+1/2xy-1/6xy

$$3 x ^ { 2 } - x y + \frac { 1 } { 2 } x y - \frac { 1 } { 6 } x y$$

Evaluate

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

Solution Steps

Combine -xy and \frac{1}{2}xy to get -\frac{1}{2}xy.

$$3x^{2}-\frac{1}{2}xy-\frac{1}{6}xy$$

Combine -\frac{1}{2}xy and -\frac{1}{6}xy to get -\frac{2}{3}xy.

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

Factor

$$\frac{x\left(9x-2y\right)}{3}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{18x^{2}-6xy+3xy-xy}{6}$$

Consider 18x^{2}-6xy+3xy-xy. Factor out x.

$$x\left(18x-6y+3y-y\right)$$

Consider 18x-6y+3y-y. Multiply and combine like terms.

$$18x-4y$$

Consider 18x-4y. Factor out 2.

$$2\left(9x-2y\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(9x-2y\right)}{3}$$