Question

me ajudem matemática please

Answer 1

Z = $\frac{1}{1-i} . \frac{1+i}{1+i} + \frac{2+3i}{1+i} . \frac{1-i}{1-i}$

Z = $\frac{1+i}{1+i-i-i^2} + \frac{2+3i-2i-3i^2}{1-i+i-i^2}$

Z = $\frac{i+1}{1-(-1)} + \frac{2+i-3.(-1)}{1-(-1)}$

Z = $\frac{i+1}{1+1} + \frac{2+i+3}{1+1}$

Z = $\frac{1+i}{2} + \frac{5+i}{2}$

Z = $\frac{1+5+i+i}{2}$

Z = $\frac{6+2i}{2}$

Z = 3 + i