Solve 12x^2y^4-3xy^3+3x^2{y}^2

$$12 { x }^{ 2 } { y }^{ 4 } -3x { y }^{ 3 } +3 { x }^{ 2 } { y }^{ 2 }$$

Factor

$$3xy^{2}\left(4xy^{2}+x-y\right)$$

Solution Steps

Factor out 3.

$$3\left(4x^{2}y^{4}-xy^{3}+x^{2}y^{2}\right)$$

Consider 4x^{2}y^{4}-xy^{3}+x^{2}y^{2}. Factor out xy^{2}.

$$xy^{2}\left(4xy^{2}-y+x\right)$$

Rewrite the complete factored expression.

$$3xy^{2}\left(4xy^{2}-y+x\right)$$

Evaluate

$$3xy^{2}\left(4xy^{2}+x-y\right)$$