Solve m^6+1/m^6

$${ m }^{ 6 } + \frac{ 1 }{ { m }^{ 6 } }$$

Evaluate

$$m^{6}+\frac{1}{m^{6}}$$

Short Solution Steps

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

$$\frac{m^{6}m^{6}}{m^{6}}+\frac{1}{m^{6}}$$

Since \frac{m^{6}m^{6}}{m^{6}} and \frac{1}{m^{6}} have the same denominator, add them by adding their numerators.

$$\frac{m^{6}m^{6}+1}{m^{6}}$$

Do the multiplications in m^{6}m^{6}+1.

$$\frac{m^{12}+1}{m^{6}}$$

Factor

$$\frac{\left(m^{4}+1\right)\left(m^{8}-m^{4}+1\right)}{m^{6}}$$