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

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Solution

$a^{3} - a^{2} + a - 1 = a^{2} (a - 1) + 1 (a - 1) = (a - 1) (a^{2} + 1)$

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

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