Solve 75x^2y+12x^3y^2+95xy^2-20{x}^{2}y-10x{y}^2+120{x}^3y2+20{x}^2y-5x{y}^2

$$75 { x }^{ 2 } y+12 { x }^{ 3 } { y }^{ 2 } +95x { y }^{ 2 } -20 { x }^{ 2 } y-10x { y }^{ 2 } +120 { x }^{ 3 } y2+20 { x }^{ 2 } y-5x { y }^{ 2 }$$

Factor

$$x\left(12x^{2}y^{2}+75xy+80y^{2}+120y_{2}x^{2}\right)$$

Solution Steps

Factor out x.

$$x\left(75xy+12x^{2}y^{2}+95y^{2}-20xy-10y^{2}+120x^{2}y_{2}+20xy-5y^{2}\right)$$

Evaluate

$$x\left(75xy+80y^{2}+120y_{2}x^{2}+12\left(xy\right)^{2}\right)$$