Question

Calcule
a) (3+2i)2
b)(5-i)2
c)(1+i)3
Números complexos

Answer 1

a-)
(3+2i)² = 9 + 2.2.3i + (2i)² = 9 + 12i + (2i)² = 9 + 4i + 4(i²) =  9 - 4 + 12i = 5 + 12i 
===================
b-)
(5 - i)² = 25 - 10i + i² = 25 - 1 - 10i = 24 - 10i
=================
c-)
(1 + i)³ = (1 + i)² + (1 + i) => 2i . (1 + i) => 2i - 2i² => - 2 + 2i