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Factorisation by Common Factors

Factorise: ...

Question

Factorise: $x^{2} + 6 x + 5$

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Solution

$x^{2} + 6 x + 5$
$= x^{2} + 1 x + 5 x + 5$
$= x (x + 1) + 5 (x + 1)$
$= (x + 1) (x + 5)$
$∴ x^{2} + 6 x + 5 = (x + 1) (x + 5)$

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