Question

Por Favor respondam Rapido
Calule as operaçoes abaixo:
A) 12-i/3+i
B)2i/1+3i

Answer 1

$a) \frac{12-i}{3+i}= \frac{12-i}{3+i}. \frac{3-i}{3-i}= \frac{36-12i-3i+i^{2}}{9-i^{2}}= \frac{36 - 15i -1}{9-(-1)} = \frac{35-15i}{10} \\ \\ \\ b) \frac{2i}{1+3i} = \frac{2i}{1+3i} . \frac{1-3i}{1-3i} = \frac{2i-6i^{2}}{1-9i^{2}}= \frac{2i+6}{1+9} = \frac{2i+6}{10} = \frac{i+3}{5}$

Espero ter ajudado.