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

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

Factorizar

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

Pasos da solución

Factoriza 4.

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

Considera 2x^{8}y^{9}+18x^{2}y^{7}+27x^{4}y^{2}. Factoriza x^{2}y^{2}.

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

Reescribe a expresión factorizada completa.

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

Calcular

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