Solve x^{2}yz+3xy^{2}z-2xyz^2-3xy^2z+xyz^2-x^2yz

$$x ^ { 2 } y z + 3 x y ^ { 2 } z - 2 x y z ^ { 2 } - 3 x y ^ { 2 } z + x y z ^ { 2 } - x ^ { 2 } y z$$

Evaluate

$$-xyz^{2}$$

Solution Steps

Combine 3xy^{2}z and -3xy^{2}z to get 0.

$$x^{2}yz-2xyz^{2}+xyz^{2}-x^{2}yz$$

Combine -2xyz^{2} and xyz^{2} to get -xyz^{2}.

$$x^{2}yz-xyz^{2}-x^{2}yz$$

Combine x^{2}yz and -x^{2}yz to get 0.

$$-xyz^{2}$$

Differentiate w.r.t. x

$$-yz^{2}$$