Simplify: `-1/2a^2b^2c+1/3a b^2c-1/4a b c^2-1/5c b^2a^2+1/6c b^2a-1/7c^2a b+1/8c a^2bdot`

Explanation

To simplify the expression

\[ - \frac{1}{2} a^2 b^2 c + \frac{1}{3} a b^2 c - \frac{1}{4} a b c^2 - \frac{1}{5} c b^2 a^2 + \frac{1}{6} c b^2 a - \frac{1}{7} c^2 a b + \frac{1}{8} c a^2 b, \]

we will group the like terms and combine them step by step.

...