Question

Efetue:
(1 / 2 + i)(1/ 4 - i)(1 - 1 / 2 - i)​

Answer 1

Resposta:

0

Explicação passo-a-passo:

$\left(\frac{1}{2+i}\right)\left(\frac{1}{4-i}\right)\left(\frac{1-1}{2-i}\right)\\=\frac{1}{2+i}\cdot \frac{1}{4-i}\cdot \frac{1-1}{2-i}\\=\frac{1}{2+i}\cdot \frac{1}{4-i}\cdot \frac{0}{2-i}\\=\frac{1\cdot \:1\cdot \:0}{\left(2+i\right)\left(4-i\right)\left(2-i\right)}\\=\frac{0}{\left(2+i\right)\left(4-i\right)\left(2-i\right)}\\=0$