Solve 3x^{4}y^{6}z+27x^3y^4z-18x^2y^2z

$$3 x ^ { 4 } y ^ { 6 } z + 27 x ^ { 3 } y ^ { 4 } z - 18 x ^ { 2 } y ^ { 2 } z$$

Factor

$$3zx^{2}y^{2}\left(x^{2}y^{4}+9xy^{2}-6\right)$$

Solution Steps

Factor out 3.

$$3\left(x^{4}y^{6}z+9x^{3}y^{4}z-6x^{2}y^{2}z\right)$$

Consider x^{4}y^{6}z+9x^{3}y^{4}z-6x^{2}y^{2}z. Factor out x^{2}y^{2}z.

$$x^{2}y^{2}z\left(x^{2}y^{4}+9xy^{2}-6\right)$$

Rewrite the complete factored expression.

$$3x^{2}y^{2}z\left(x^{2}y^{4}+9xy^{2}-6\right)$$

Evaluate

$$3z\left(xy\right)^{2}\left(x^{2}y^{4}+9xy^{2}-6\right)$$