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Factorisation by Regrouping Terms

Factorise : x...

Question

Factorise : $x^{2} + 4 x + 3$

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Solution

$x^{2} + 4 x + 3 = x^{2} + 3 x + x + 3 = x (x + 3) + 1 (x + 3) = (x + 3) (x + 1)$

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