complexplot examples in the help is limited.

this is a example

abs(z-a)-abs(z+a)=2c

c is a fixed,

a is a real number

a is a complex number

plot the locus.

Shift+Left Arrow to choose the region which I'll make them numerator part,or add parentheses for the part.

(6+7)/

Any other convenient methods?

F₂:

 + | 0 1        × | 0 1
 --+----        --+----
 0 | 0 1        0 | 0 0
 1 | 1 0        1 | 0 1

F₃:

 + | 0 1 2       × | 0 1 2
 --+------       --+------
 0 | 0 1 2       0 | 0 0 0
 1 | 1 2 0       1 | 0 1 2
 2 | 2 0 1       2 | 0 2 1

F₄:

Actually I reach that in mathematica not easy,

Show[Plot[
  Piecewise[{{0, x < -0.5}, {1/5, x < 1.3}, {2/5, x < 1.7}, {3/5,
     x < 2}, {4/5, x < 2.8}, {1, x > 2.8}}], {x, -2, 5},
  Ticks -> {{-0.5, 1.3, 1.7, 2, 2.8}, {1/5, 2/5, 3/5, 4/5, 1}},
  PlotStyle -> {Thickness[0.01]}],
 ListPlot[{{-0.5, 1/5}, {1.3, 2/5}, {1.7, 3/5}, {2, 4/5}, {2.8, 1}},
  PlotStyle -> PointSize[0.03]]]

ComplexExpand[(1 + I)^n + (1 - I)^n]

this is in mathematica