Carab99 Carab99
  • 19-10-2019
  • Mathematics
contestada

Show the steps to simplify (-1+isqrt3))^3

Respuesta :

MathPhys
MathPhys MathPhys
  • 19-10-2019

Answer:

8

Step-by-step explanation:

(-1 + i√3)³

Use binomial expansion:

(-1)³ + 3 (-1)² (i√3) + 3 (-1) (i√3)² + (i√3)³

Simplify:

-1 + 3i√3 − 3 (i√3)² + (i√3)³

-1 + 3i√3 − 3 (-3) + (-3i√3)

-1 + 3i√3 + 9 − 3i√3

8

Answer Link

Otras preguntas

Help needed! please help math
9. Graph any triangle and translate it in any direction. Draw translation vectors for each vertex of the triangle. Is there a geometric relationship between all
Write the equation  for the line that passes through (6, 6) and is perpendicular to the given line
WIL GIVE BRAINLYEST 100 POINTS ACULY 200 BECUS EI GIVE EXTRA
Similarities between Tigris and Euphrates civilizations
A beggar showed as the way. into passive​
Solve the simultaneous equations (a) 2x + 5y = 16 (1) 5x - 2y = 11 (2) (1) X 5 gives x + (2) X 2 gives 10x - 4y= 22 (4) (3) - (4) gives y = Substitute y = 2x +
help 1,3,7,13,21_ _ next please I don't know the answer ​
name five suitable emergency food conditions for foods supplied in refugee camps​
Please help me with this question