Question

Determine as potências:
a) (5 + i) 2
b) (3 – 2i) 3

Answer 1

Resposta:

(5+I)²= 25+i²

(3-2i)³= 9-8i³

Se estiver correto, curte meu comentário please.

Answer 2

Explicação passo-a-passo:

a)

$\sf (5+i)^2=5^2+2\cdot5\cdot i+i^2$

$\sf (5+i)^2=25+10i-1$

$\sf \red{(5+i)^2=24+10i}$

b)

$\sf (3-2i)^3=3^3-3\cdot3^2\cdot2i+3\cdot3\cdot(2i)^2-(2i)^3$

$\sf (3-2i)^3=27-3\cdot9\cdot2i+3\cdot3\cdot4i^2-8i^3$

$\sf (3-2i)^3=27-54i+36i^2-8\cdot(-i)$

$\sf (3-2i)^3=27-54i+36\cdot(-1)+8i$

$\sf (3-2i)^3=27-54i-36+8i$

$\sf (3-2i)^3=27-36-54i+8i$

$\sf \red{(3-2i)^3=-9-46i}$