Factorise : x^3 - x^2 + ax + x - a - 1 - Vidyadip

Question

Factorise $: x^3 - x^2 + ax + x - a - 1$

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Answer

$x^3 - x^2 + ax + x - a - 1$
$= x^3 - x^2 + ax - a + x - 1$
$= x^2(x - 1) + a(x - 1) + 1(x - 1)$
$= (x - 1)(x^2 + a + 1)$

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