Solve 8x^8y^9+72x^2y^7+108{x}^4{y}^2

$$8 { x }^{ 8 } { y }^{ 9 } +72 { x }^{ 2 } { y }^{ 7 } +108 { x }^{ 4 } { y }^{ 2 }$$

Factor

$$4x^{2}y^{2}\left(2x^{6}y^{7}+27x^{2}+18y^{5}\right)$$

Solution Steps

Factor out 4.

$$4\left(2x^{8}y^{9}+18x^{2}y^{7}+27x^{4}y^{2}\right)$$

Consider 2x^{8}y^{9}+18x^{2}y^{7}+27x^{4}y^{2}. Factor out x^{2}y^{2}.

$$x^{2}y^{2}\left(2x^{6}y^{7}+18y^{5}+27x^{2}\right)$$

Rewrite the complete factored expression.

$$4x^{2}y^{2}\left(2x^{6}y^{7}+18y^{5}+27x^{2}\right)$$

Evaluate

$$4\left(xy\right)^{2}\left(2x^{6}y^{7}+27x^{2}+18y^{5}\right)$$