The system function of an LTI system is given by It is known that the system is...

The system function of an LTI system is given by

It is known that the system is not stable and that the impulse response is two sided.

(a) Determine the impulse response h[n] of the system.

(b) The impulse response found in part (a) can be expressed as the sum of a causal impulse response h₁[n] and an anticausal impulse response h₂[n]. Determine the corresponding system functions H₁(z) and H₂(z).