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Factorisation by Common Factors

Factorise: q...

Question

Factorise:
$q^{2} - 10 q + 21$

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Solution

We have
$q^{2} - 10 q + 21$
$= q^{2} - 7 q - 3 q + 21$ [By middle term splitting method]
$= q (q - 7) - 3 (q - 7)$
$= (q - 3) (q - 7)$

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