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Expression simplification/ Fraction Decomposition into the simple/ (2-i)^2-z/i+((4-i)*i^7)/(i-2)

How do you (2-i)^2-z/i+((4-i)*i^7)/(i-2) in partial fractions?

An expression to simplify:

The solution

You have entered [src] 
                        7
       2   z   (4 - I)*I 
(2 - I)  - - + ----------
           I     I - 2
$$\left(- \frac{z}{i} + \left(2 - i\right)^{2}\right) + \frac{i^{7} \left(4 - i\right)}{-2 + i}$$ 
(2 - i)^2 - z/i + ((4 - i)*i^7)/(i - 2)
Fraction decomposition [src] 
13/5 - 11*i/5 + i*z
$$i z + \frac{13}{5} - \frac{11 i}{5}$$ 
13   11*I      
-- - ---- + I*z
5     5
General simplification [src] 
13   11*I      
-- - ---- + I*z
5     5
$$i z + \frac{13}{5} - \frac{11 i}{5}$$ 
13/5 - 11*i/5 + i*z
Factorization [src] 
      11   13*I
x + - -- - ----
      5     5
$$x + \left(- \frac{11}{5} - \frac{13 i}{5}\right)$$ 
x - 11/5 - 13*i/5
Common denominator [src] 
13   11*I      
-- - ---- + I*z
5     5
$$i z + \frac{13}{5} - \frac{11 i}{5}$$ 
13/5 - 11*i/5 + i*z
Powers [src] 
       2                    /  2   I\
(2 - I)  + I*z + I*(-4 + I)*|- - - -|
                            \  5   5/
$$i z + \left(2 - i\right)^{2} + i \left(-4 + i\right) \left(- \frac{2}{5} - \frac{i}{5}\right)$$ 
       2                   /  2   I\
(2 - I)  + I*z - I*(4 - I)*|- - - -|
                           \  5   5/
$$i z + \left(2 - i\right)^{2} - i \left(- \frac{2}{5} - \frac{i}{5}\right) \left(4 - i\right)$$ 
(2 - i)^2 + i*z - i*(4 - i)*(-2/5 - i/5)
Rational denominator [src] 
            /                 /              2\\ 
-I*(-2 - I)*\4 - I + (-2 + I)*\-z + I*(2 - I) // 
-------------------------------------------------
                        5
$$- \frac{i \left(-2 - i\right) \left(\left(-2 + i\right) \left(- z + i \left(2 - i\right)^{2}\right) + 4 - i\right)}{5}$$ 
-i*(-2 - i)*(4 - i + (-2 + i)*(-z + i*(2 - i)^2))/5
Assemble expression [src] 
       2         I*(-2 - I)*(4 - I)
(2 - I)  + I*z - ------------------
                         5
$$i z + \left(2 - i\right)^{2} - \frac{i \left(-2 - i\right) \left(4 - i\right)}{5}$$ 
(2 - i)^2 + i*z - i*(-2 - i)*(4 - i)/5
Numerical answer [src] 
-0.4 + (2.0 - i)^2 + 1.8*i + 1.0*i*z
-0.4 + (2.0 - i)^2 + 1.8*i + 1.0*i*z
Combinatorics [src] 
13   11*I      
-- - ---- + I*z
5     5
$$i z + \frac{13}{5} - \frac{11 i}{5}$$ 
13/5 - 11*i/5 + i*z
Trigonometric part [src] 
       2         I*(-2 - I)*(4 - I)
(2 - I)  + I*z - ------------------
                         5
$$i z + \left(2 - i\right)^{2} - \frac{i \left(-2 - i\right) \left(4 - i\right)}{5}$$ 
(2 - i)^2 + i*z - i*(-2 - i)*(4 - i)/5
Combining rational expressions [src] 
         2                             
5*(2 - I)  + 5*I*z - I*(-2 - I)*(4 - I)
---------------------------------------
                   5
$$\frac{5 i z + 5 \left(2 - i\right)^{2} - i \left(-2 - i\right) \left(4 - i\right)}{5}$$ 
(5*(2 - i)^2 + 5*i*z - i*(-2 - i)*(4 - i))/5
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