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

Which answer correctly lists the sequence of events in Texas history? 1. Texas rebels are wiped out by Mexican forces at the Alamo. 2. Sam Houston defeats Santa
To classify an organism a scientist finds in the field, which of these will the scientist first compare to other known organisms?
What does "corazon" mean in spanish
What device would best emphasize suspense in this part of the excerpt? The head of my bed was near the door,and I thought at first the goblin-laughter stood at
The English established their first enduring colonial settlement in North America in A Raleigh, North Carolina. B Philadelphia, Pennsylvania. C Plymouth, Massac
The ____________ of force will determine the ____________ of acceleration.
What happens to an enzyme’s structure as it exceeds the typical human body temperature?
Why was the postwar situation in Germany especially bad
Antar is flying a triangular-shaped kite. it has a height of 4 1/2 feet and a base of 5 3/4 feet. what is the area of Antar's kite?
why did people start colonies in new England