Solve 2a^{2}y-16a^3y^2+12a^4y^3

$$2 a ^ { 2 } y - 16 a ^ { 3 } y ^ { 2 } + 12 a ^ { 4 } y ^ { 3 }$$

Factor

$$2ya^{2}\left(6a^{2}y^{2}-8ay+1\right)$$

Solution Steps

Factor out 2.

$$2\left(a^{2}y-8a^{3}y^{2}+6a^{4}y^{3}\right)$$

Consider a^{2}y-8a^{3}y^{2}+6a^{4}y^{3}. Factor out a^{2}y.

$$a^{2}y\left(1-8ay+6a^{2}y^{2}\right)$$

Rewrite the complete factored expression.

$$2a^{2}y\left(1-8ay+6a^{2}y^{2}\right)$$

Evaluate

$$2ya^{2}\left(1+6\left(ay\right)^{2}-8ay\right)$$