Solve 3a^{2}y^2-3axy^2-3xy^2+3a^3y

$$3 a ^ { 2 } y ^ { 2 } - 3 a x y ^ { 2 } - 3 x y ^ { 2 } + 3 a ^ { 3 } y$$

Factor

$$3y\left(a^{3}+ya^{2}-xy-axy\right)$$

Solution Steps

Factor out 3.

$$3\left(a^{2}y^{2}-axy^{2}-xy^{2}+a^{3}y\right)$$

Consider a^{2}y^{2}-axy^{2}-xy^{2}+a^{3}y. Factor out y.

$$y\left(a^{2}y-axy-xy+a^{3}\right)$$

Rewrite the complete factored expression.

$$3y\left(a^{2}y-axy-xy+a^{3}\right)$$

Evaluate

$$3y\left(a^{3}+ya^{2}-xy-axy\right)$$