If \[{{\mathbf{a}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{a}}^{\mathbf{2}}}}=27\] find the value of \[\left( {{a}^{3}}-\frac{1}{{{a}^{3}}} \right)\]

If \[{{\mathbf{a}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{a}}^{\mathbf{2}}}}

1.	If \[{{\mathbf{a}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{a}}^{\mathbf{2}}}}=27\] find the value of \[\left( {{a}^{3}}-\frac{1}{{{a}^{3}}} \right)\]
A.	120
B.	140
C.	100
D.	110
Answer» C. 100