If a = 4.965, b = 2.343 and c = 2.622, then the value of

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If a = 4.965, b = 2.343 and c = 2.622, then the value of a³ - b³ - c³ – 3abc is :

1. – 2
2. – 1
3. 0
4. 9.93

Correct Option: C

Using Rule 21,
If a + b + c = 0, then a³ + b³ + c³ = 3abc
∴ When a – b – c = 0,
a³ - b³ - c³ = 3abc
i.e. a³ - b³ - c³ - 3abc = 0
Here,a = 4.965, b = 2.343, c = 2.6222
∴ a – b – c = 4.965 – 2.343 – 2.622 = 0
Hence, a³ - b³ - c³ - 3abc = 0