Multiply $(x^{2} + x + 1)$ by $(1 - x)$ .

- x^{3} + 2 x^{2} - 2 x + 1

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- x^{3} + 1

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x^{3} - 2 x^{2} + 2 x - 1

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x^{3} - 1

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Solution

The correct option is B $- x^{3} + 1$
$(x^{2} + x + 1) \times (1 - x)$
$= x^{2} (1 - x) + x (1 - x) + 1 (1 - x)$
$= x^{2} - x^{3} + x - x^{2} + 1 - x = - x^{3} + 1$

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