Question

(1+i radical din 3)la puterea3

Answer 1

Răspuns:

SALUT

(1+i V3)^3 = (1+V3i)^3 = 1+3V3i+9i^2 +3V3i^3 = 1+3V3i +9*(-1)+3V3*(-i) = 1+3V3i-9+3V3i =

= 1+(-9) = 1-9 = -8.

Evergreen

Answer 2

$\it (1+i\sqrt3)^3=1^3+3\cdot1^2\cdot i\sqrt3+3\cdot1\cdot(i\sqrt3)^2+(i\sqrt3)^3=\\ \\ =1+3\sqrt3i-9-3\sqrt3i=1-9=-8$