Solve -m^6divm^3*(-m)^3-m^6

$$- m ^ { 6 } \div m ^ { 3 } \cdot ( - m ) ^ { 3 } - m ^ { 6 }$$

Evaluate

$$0$$

Short Solution Steps

Express \frac{-m^{6}}{m^{3}}\left(-m\right)^{3} as a single fraction.

$$\frac{\left(-m^{6}\right)\left(-m\right)^{3}}{m^{3}}-m^{6}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply m^{6} times \frac{m^{3}}{m^{3}}.

$$\frac{\left(-m^{6}\right)\left(-m\right)^{3}}{m^{3}}-\frac{m^{6}m^{3}}{m^{3}}$$

Since \frac{\left(-m^{6}\right)\left(-m\right)^{3}}{m^{3}} and \frac{m^{6}m^{3}}{m^{3}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(-m^{6}\right)\left(-m\right)^{3}-m^{6}m^{3}}{m^{3}}$$

Factor the expressions that are not already factored in \frac{\left(-m^{6}\right)\left(-m\right)^{3}}{m^{3}}.

$$\frac{-\left(-m\right)^{3}m^{6}}{m^{3}}-m^{6}$$

Cancel out m^{3} in both numerator and denominator.

$$-m^{3}\left(-m\right)^{3}-m^{6}$$

Expand the expression.

$$m^{6}-m^{6}$$

Combine m^{6} and -m^{6} to get 0.

$$0$$

Factor

$$0$$