Find the value of $m^{3} + n^{3} + p^{3} - 3 m n p$ at $m = 1$ , $n = - 1$ , and $p = 2$ .

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Solution

The correct option is B 14
When $m = 1$ , $n = - 1$ , and $p = 2$ ,
$m^{3} + n^{3} + p^{3} - 3 m n p$
$= 1^{3} + (- 1)^{3} + 2^{3} - 3 (1) (- 1) (2) = 1 - 1 + 8 + 6 = 14$

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Question 67 (e)

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