A is any matrix satisfying the property\( { A }^{ 2 } = I\), then the value of the expression \( { A }^{ 3 } + { \left(A+I\right) }^{ 2 } -8A - { I }^{ 2 } - { A }^{ 2 } \) is

3A -5A 6A -6A

-5A

Given, \(A^2 = I\) The given equation is \(A^3 + (A + I)^2 - 8A - I^2 - A^2\) \(= A^2.A + A^2 + I^2 + 2IA - 8A - I^2 - A^2\) \(= IA + I + I^2 +2IA - 8A - I^2 - I\) \(= 3IA - 8A\) \(= 3A - 8A = -5A\)