Question

Resolva a expressao 2+i/1-2i + 2i(1-3i)

Answer 1

Bom dia Manu!

Solução!

Lembrando que  $i^{2}=-1$

 
$\dfrac{2+i}{1-2i}+2i(1-3i)$



$\dfrac{2+i}{1-2i}+(2i+6)$



$\dfrac{2+i}{1-2i}. \dfrac{1+2i}{1+2i} +(2i+6)\\\\\\ \dfrac{2+4i+i-2}{ 1+2i-2i+4} +2i+6\\\\\\\ \dfrac{4i+i}{ 1+4} +2i+6\\\\\\\ \dfrac{5i}{ 5} +2i+6\\\\\\\ \dfrac{5i+10i+30}{5}\\\\\\ \dfrac{15i+30}{5}\\\\\\ \dfrac{5(3i+6)}{5}\\\\\\\ 3i+6$



$\boxed{Resposta: 3i+6}$

Bom dia!

Bons estudos!