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    Z-transform

    Result

    (2 z (2 z + 1))/(2 z - 1)^3

    Plots

    Expanded forms

    (4 z^2)/(8 z^3 - 12 z^2 + 6 z - 1) + (2 z)/(8 z^3 - 12 z^2 + 6 z - 1)

    (4 z^2 + 2 z)/(8 z^3 - 12 z^2 + 6 z - 1)

    (4 z^2)/(2 z - 1)^3 + (2 z)/(2 z - 1)^3

    Partial fraction expansion

    1/(2 z - 1) + 3/(2 z - 1)^2 + 2/(2 z - 1)^3

    Alternate form

    (z (4 z + 2))/(z (z (8 z - 12) + 6) - 1)