What is 4/(1-i)+(2-i)/(1+i) ?

The solution to 4/(1-i)+(2-i)/(1+i) is 5/2+1/2 i

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simplify 4/(1-i)+(2-i)/(1+i)

simplify

\frac{4}{1 - i} + \frac{2 - i}{1 + i}

\frac{5}{2} + \frac{1}{2} i

Solution steps

\frac{4}{1 - i} + \frac{2 - i}{1 + i}

\frac{4}{1 - i} = \frac{4 + 4 i}{2}

\frac{2 - i}{1 + i} = \frac{1 - 3 i}{2}

= \frac{4 + 4 i}{2} + \frac{1 - 3 i}{2}

Join

\frac{4 + 4 i}{2} + \frac{1 - 3 i}{2} : \frac{i + 5}{2}

= \frac{i + 5}{2}

Rewrite in standard complex form:

\frac{5}{2} + \frac{1}{2} i

= \frac{5}{2} + \frac{1}{2} i

x^{3} - 6 x^{2} - 4 x + 24

418 - 152

5 \cdot 19

35 x^{3} y^{4} - 60 x^{4} y

\frac{4}{3} π 1 0^{3}