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19-10-2019
Mathematics

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

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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

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