Solve -16x^{3}y^{2}-8x^{2}y-24x^4y^4-40x^2y^3

$$- 16 x ^ { 3 } y ^ { 2 } - 8 x ^ { 2 } y - 24 x ^ { 4 } y ^ { 4 } - 40 x ^ { 2 } y ^ { 3 }$$

Factor

$$-8yx^{2}\left(3x^{2}y^{3}+2xy+5y^{2}+1\right)$$

Solution Steps

Factor out 8.

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

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

$$x^{2}y\left(-2xy-1-3x^{2}y^{3}-5y^{2}\right)$$

Rewrite the complete factored expression.

$$8x^{2}y\left(-2xy-1-3x^{2}y^{3}-5y^{2}\right)$$

Evaluate

$$-8yx^{2}\left(3x^{2}y^{3}+2xy+5y^{2}+1\right)$$