Solve 2x^3y^3z^2+6x^2{y}^{2}z-{x}^{2}{y}^{3}z+2{x}^2{y}^3z-3xy{z}^2+xy{z}^2+11xyz-8xyz

$$2 { x }^{ 3 } { y }^{ 3 } { z }^{ 2 } +6 { x }^{ 2 } { y }^{ 2 } z- { x }^{ 2 } { y }^{ 3 } z+2 { x }^{ 2 } { y }^{ 3 } z-3xy { z }^{ 2 } +xy { z }^{ 2 } +11xyz-8xyz$$

Factor

$$xyz\left(xy^{2}+6xy+2zx^{2}y^{2}-2z+3\right)$$

Solution Steps

Factor out xyz.

$$xyz\left(2x^{2}y^{2}z+6xy+xy^{2}-2z+3\right)$$

Evaluate

$$xyz\left(xy^{2}+6xy+2z\left(xy\right)^{2}-2z+3\right)$$