Solve 39x^{6}y^{8}-13x^4y^5-26x^3y^4

$$39 x ^ { 6 } y ^ { 8 } - 13 x ^ { 4 } y ^ { 5 } - 26 x ^ { 3 } y ^ { 4 }$$

Factor

$$13x^{3}y^{4}\left(3x^{3}y^{4}-xy-2\right)$$

Solution Steps

Factor out 13.

$$13\left(3x^{6}y^{8}-x^{4}y^{5}-2x^{3}y^{4}\right)$$

Consider 3x^{6}y^{8}-x^{4}y^{5}-2x^{3}y^{4}. Factor out x^{3}y^{4}.

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

Rewrite the complete factored expression.

$$13x^{3}y^{4}\left(3x^{3}y^{4}-xy-2\right)$$

Evaluate

$$13x^{3}y^{4}\left(3x^{3}y^{4}-xy-2\right)$$