Solve 8x^3y^4-22x^5y^6

$$8 x ^ { 3 } y ^ { 4 } - 22 x ^ { 5 } y ^ { 6 }$$

Factor

$$2x^{3}y^{4}\left(4-11x^{2}y^{2}\right)$$

Solution Steps

Factor out 2.

$$2\left(4x^{3}y^{4}-11x^{5}y^{6}\right)$$

Consider 4x^{3}y^{4}-11x^{5}y^{6}. Factor out x^{3}y^{4}.

$$x^{3}y^{4}\left(4-11x^{2}y^{2}\right)$$

Rewrite the complete factored expression.

$$2x^{3}y^{4}\left(4-11x^{2}y^{2}\right)$$

Evaluate

$$2x^{3}y^{4}\left(4-11\left(xy\right)^{2}\right)$$