Factorise $a^{3} - a^{2} + a - 1$

(a + 1) (a^{2} + 1)

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(a - 1) (a^{2} - 1)

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(a + 1) (a^{2} - 1)

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(a - 1) (a^{2} + 1)

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Solution

The correct option is B $(a - 1) (a^{2} + 1)$
$F a c t o r i z i n g a^{3} - a^{2} + a - 1, = a^{2} (a - 1) + 1 (a - 1) = (a - 1) (a^{2} + 1)$

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(a + 1) (a - 1) (a^{2} + 1)

The value of $(a + 1) (a - 1) (a^{2} + 1)$ is $a^{4} - 1$ .

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