Question

PRA AGORA
Calcule: (1/2+i).(1/4-i).1-1/2i)

Answer 1

$(\frac{1}{2} +i)(\frac{1}{4} -i)(1-\frac{1}{2}i)\\ \\\frac{1}{8} - \frac{1}{2}i + \frac{1}{4}i -i^{2}(1-\frac{1}{2}i)\\\\\frac{1}{8}-\frac{1}{4}i +1(1-\frac{1}{2}i)\\\\\frac{9}{8}-\frac{1}{4}i(1-\frac{1}{2}i)\\\\(\frac{9}{8} - \frac{1}{4} )(1-\frac{1}{2} i)\\\\\frac{9}{8} -\frac{9}{16} i-\frac{1}{4} i+\frac{1}{8} i^{2} \\\\\frac{9}{8} -\frac{1}{8} -\frac{9}{16}i -\frac{1}{4}i\\\\1 - \frac{13}{16}i$