Solve 18a^{3}y-4a^4y^3+10a^6y^2

$$18 a ^ { 3 } y - 4 a ^ { 4 } y ^ { 3 } + 10 a ^ { 6 } y ^ { 2 }$$

Factor

$$2ya^{3}\left(9+5ya^{3}-2ay^{2}\right)$$

Solution Steps

Factor out 2.

$$2\left(9a^{3}y-2a^{4}y^{3}+5a^{6}y^{2}\right)$$

Consider 9a^{3}y-2a^{4}y^{3}+5a^{6}y^{2}. Factor out a^{3}y.

$$a^{3}y\left(9-2ay^{2}+5a^{3}y\right)$$

Rewrite the complete factored expression.

$$2a^{3}y\left(9-2ay^{2}+5a^{3}y\right)$$

Evaluate

$$2ya^{3}\left(9+5ya^{3}-2ay^{2}\right)$$