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Factorisation by Regrouping Terms

Factorise : x...

Question

Factorise :

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

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Solution

$x^{3} - 3 x^{2} + x - 3 = x^{2} (x - 3) + 1 (x - 3) = (x - 3) (x^{2} + 1) A n s .$

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