Solve 24x^{2}y^3-12x^4y^2+36x^5y=

$$24 x ^ { 2 } y ^ { 3 } - 12 x ^ { 4 } y ^ { 2 } + 36 x ^ { 5 } y =$$

Factor

$$12yx^{2}\left(3x^{3}+2y^{2}-yx^{2}\right)$$

Solution Steps

Factor out 12.

$$12\left(2x^{2}y^{3}-x^{4}y^{2}+3x^{5}y\right)$$

Consider 2x^{2}y^{3}-x^{4}y^{2}+3x^{5}y. Factor out x^{2}y.

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

Rewrite the complete factored expression.

$$12x^{2}y\left(2y^{2}-x^{2}y+3x^{3}\right)$$

Evaluate

$$12yx^{2}\left(3x^{3}+2y^{2}-yx^{2}\right)$$