Solve 5/6x^{3}y^{2}+4/5xy^{2}-4x^{4}y-3x^{3}y^{2}-8/3xy^{2}+7/6x^{4}y-frac{5}{12}x^3y^2-6xy^2-frac{3}{8}x^4y

$$\frac { 5 } { 6 } x ^ { 3 } y ^ { 2 } + \frac { 4 } { 5 } x y ^ { 2 } - 4 x ^ { 4 } y - 3 x ^ { 3 } y ^ { 2 } - \frac { 8 } { 3 } x y ^ { 2 } + \frac { 7 } { 6 } x ^ { 4 } y - \frac { 5 } { 12 } x ^ { 3 } y ^ { 2 } - 6 x y ^ { 2 } - \frac { 3 } { 8 } x ^ { 4 } y$$

Factor

$$-\frac{xy\left(385x^{3}+310yx^{2}+944y\right)}{120}$$

Solution Steps

Factor out \frac{1}{120}.

$$\frac{100x^{3}y^{2}+96xy^{2}-480x^{4}y-360x^{3}y^{2}-320xy^{2}+140x^{4}y-50x^{3}y^{2}-720xy^{2}-45x^{4}y}{120}$$

Consider 100x^{3}y^{2}+96xy^{2}-480x^{4}y-360x^{3}y^{2}-320xy^{2}+140x^{4}y-50x^{3}y^{2}-720xy^{2}-45x^{4}y. Factor out xy.

$$xy\left(100x^{2}y+96y-480x^{3}-360x^{2}y-320y+140x^{3}-50x^{2}y-720y-45x^{3}\right)$$

Rewrite the complete factored expression.

$$\frac{xy\left(-385x^{3}-310yx^{2}-944y\right)}{120}$$

Evaluate

$$-\frac{xy\left(385x^{3}+310yx^{2}+944y\right)}{120}$$