The transfer function of a causal stable LTI system is
H(z) = 1+4z⁻² / 1-0.25z⁻²

Find a minimum-phase system Hₘᵢₙ(z) and an all-pass system Hₐₚ(z) so that H(z) = Hₘᵢₙ(z)Hₐₚ(z) simplify your answer.