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Apply backshift operator (1-2B+4B^2) to x(t-2) x(t-2)-2x(t-2)+4[x(t-2)]^2 x(t-2)-2 x(t-3)+4 x(t-4) x(t-2)-2x(t-2)+4x(t-2) x(t)-2x(t-1)+4x(t-2)

Apply backshift operator (1-2B+4B^2) to x(t-2)

  1. x(t-2)-2x(t-2)+4[x(t-2)]^2
  2. x(t-2)-2 x(t-3)+4 x(t-4)
  3. x(t-2)-2x(t-2)+4x(t-2)
  4. x(t)-2x(t-1)+4x(t-2)

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