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Jessica Burton
Mathematics
23 October, 21:59
Show the steps to simplify (-1+isqrt3)) ^3
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Melissa Kline
23 October, 22:20
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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
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