Solve x^2y^2divx-xydivx+x4/6x

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

Factor

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

Solution Steps

Multiply x and x to get x^{2}.

$$factor(\frac{x^{2}y^{2}}{x}-\frac{xy}{x}+x^{2}\times \frac{4}{6})$$

Cancel out x in both numerator and denominator.

$$factor(xy^{2}-\frac{xy}{x}+x^{2}\times \frac{4}{6})$$

Cancel out x in both numerator and denominator.

$$factor(xy^{2}-y+x^{2}\times \frac{4}{6})$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$factor(xy^{2}-y+x^{2}\times \frac{2}{3})$$

Factor out \frac{1}{3}.

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

Evaluate

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