Solve -a^{2}b^{2}c^{2}-abc-a^{2}bc^{2}+ab^{2}c+a^{2}b^{2}c^2+a^2bc^2-ab^2c

$$- a ^ { 2 } b ^ { 2 } c ^ { 2 } - a b c - a ^ { 2 } b c ^ { 2 } + a b ^ { 2 } c + a ^ { 2 } b ^ { 2 } c ^ { 2 } + a ^ { 2 } b c ^ { 2 } - a b ^ { 2 } c$$

Evaluate

$$-abc$$

Solution Steps

Combine ab^{2}c and -ab^{2}c to get 0.

$$\left(-a^{2}\right)b^{2}c^{2}-abc-a^{2}bc^{2}+a^{2}b^{2}c^{2}+a^{2}bc^{2}$$

Combine -a^{2}b^{2}c^{2} and a^{2}b^{2}c^{2} to get 0.

$$-abc-a^{2}bc^{2}+a^{2}bc^{2}$$

Combine -a^{2}bc^{2} and a^{2}bc^{2} to get 0.

$$-abc$$

Differentiate w.r.t. a

$$-bc$$