Solve 84x^8y^9+72x^2y^7+108{x}^4{y}^2

$$84 { x }^{ 8 } { y }^{ 9 } +72 { x }^{ 2 } { y }^{ 7 } +108 { x }^{ 4 } { y }^{ 2 }$$

Factor

$$12x^{2}y^{2}\left(7x^{6}y^{7}+9x^{2}+6y^{5}\right)$$

Solution Steps

Factor out 12.

$$12\left(7x^{8}y^{9}+6x^{2}y^{7}+9x^{4}y^{2}\right)$$

Consider 7x^{8}y^{9}+6x^{2}y^{7}+9x^{4}y^{2}. Factor out x^{2}y^{2}.

$$x^{2}y^{2}\left(7x^{6}y^{7}+6y^{5}+9x^{2}\right)$$

Rewrite the complete factored expression.

$$12x^{2}y^{2}\left(7x^{6}y^{7}+6y^{5}+9x^{2}\right)$$

Evaluate

$$12\left(xy\right)^{2}\left(7x^{6}y^{7}+9x^{2}+6y^{5}\right)$$