Question

Efeue asoperaçoes indicadas escrevendo na forma algebrica Z=a+bi. a)(1+i).(1+i)^3.(1+i)^-1

Answer 1

a)

(1+i)·(1+i)³·(1+i)⁻¹ = (1+i)/(1+i) · (1+i)³ = 1·(1+i)³ = (1+i)³
(1+i)³ = 1³+3(1)²i+3(1)i²+i³ = 1+3i-3+i²·i = 1+3i-3-i = 1-3+3i-i = -2+2i

Z = -2+2i