If a = 4.965, b = 2.343 and c = 2.622, then $(a^{3} - b^{3} - c^{3} - 3 a b c) =$

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Solution

The correct option is D 0
$a = 4.965, b = 2.343, c = 2.622$
$a + (- b) + (- c) = 4.965 - 2.343 - 2.622 = 0$
Therefore,
$a^{3} + (- b)^{3} + (- c)^{3} = 3 \times a \times (- b) \times (- c)$
$⟹ a^{3} - b^{3} - c^{3} - 3 a b c = 0$

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