(a-1/a)^6
You asked:
Evaluate the expression: \({\left( a - \frac{1}{a} \right)}^{6}\)
MathBot Answer:
Evaluated
\(\displaystyle {\left( a - \frac{1}{a} \right)}^{6} = \left(a - \frac{1}{a}\right)^{6} \)
Expanded
\[{\left( a - \frac{1}{a} \right)}^{6} = a^{6} - 6 a^{4} + 15 a^{2} - 20 + \frac{15}{a^{2}} - \frac{6}{a^{4}} + \frac{1}{a^{6}}\]
Factored
\[{\left( a - \frac{1}{a} \right)}^{6} = \frac{\left(a - 1\right)^{6} \left(a + 1\right)^{6}}{a^{6}}\]