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rectform

f (z) := %i * (z-%i)/...

g (z) := (1+z) / (1-z);

g(f(z)), rectform;

Calculate

rectform

x: -1+%i*2;

y: 3+%i*(-5);

rectform(x*y);

Calculate

rectform-solve

y: solve(z^2+(-2+(1/2...

rectform(y);

Calculate

rectform-sqrt

z1:(1+2*sqrt(2)*%i)*(...

z2:(2+sqrt(5)*%i)*(1+...

rectform(z1);

Calculate

rectform-sqrt

z:((2*%i^224)*(sqrt(3...

rectform(z^15);

Calculate

rectform-sqrt

rectform((sqrt(3)+%i)...

Calculate

rectform

rectform((2+%i)*(3-2*...

rectform((1-%i)^3/(2+...

rectform(1/(3+%i)-(1/...

Calculate

rectform

h: 10000*s/(s^2+11000...

ft = h, s=2*%pi*f*%i;

rectform(ft);

Calculate

rectform

rectform((1-4*%i)^(2+...

Calculate

rectform

rectform((-1+%i)^7);

2^(7/2)*(%i/4);

Calculate

rectform

Run Example
(%i1)rectform:((3^(1/3)+%i)*(2*3^(1/3)-%i));
                               1/3              1/3
(%o1)                      (2 3    - %i) (%i + 3   )
(%i2) 
Run Example
z1: 1+5*%i;
(%o1)                              5 %i + 1
(%i2) z2: 2+7*%i;
(%o2)                              7 %i + 2
(%i3) rectform(z1*z2);
(%o3)                             17 %i - 33
(%i4) rectform(%o3);
(%o4)             
Run Example
rectform((sqrt(3)+%i)^6);
(%o1)                                - 64
(%i2) 
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Help for Rectform