Solve frac{-2x^{4}-9x^{3}y+6x^2y^2}{x^3+2x^2y}

$$\frac { - 2 x ^ { 4 } - 9 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } } { x ^ { 3 } + 2 x ^ { 2 } y }$$

Evaluate

$$\frac{6y^{2}-9xy-2x^{2}}{x+2y}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{2}\left(-2x^{2}-9xy+6y^{2}\right)}{\left(x+2y\right)x^{2}}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{-2x^{2}-9xy+6y^{2}}{x+2y}$$

Expand

$$\frac{6y^{2}-9xy-2x^{2}}{x+2y}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{2}\left(-2x^{2}-9xy+6y^{2}\right)}{\left(x+2y\right)x^{2}}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{-2x^{2}-9xy+6y^{2}}{x+2y}$$