The value of the expression $a^{3} - {3 a}^{2} + 3 a - 1$ for $a = - 1$ is

- 8

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- 2

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Solution

The correct option is A $- 8$
$a^{3} - 3 a^{2} + 3 a - 1$

$\Rightarrow$ $(- 1)^{3} - 3 (- 1)^{2} + 3 (- 1) - 1$ [ $a = - 1$ ]

$\Rightarrow$ $- 1 - 3 (1) - 3 - 1$

$\Rightarrow$ $- 1 - 3 - 3 - 1$

$\Rightarrow$ $- 8$

$∴$ $a^{3} - 3 a^{2} + 3 a - 1 = - 8$

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