Factorise: q^2-10 q+21 - Vidyadip

Question

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

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Answer

$q^2-10 q+21$
$=q^2+7 q-3 q+21$
${21 = (-7) × (-3), -10 = -7 - 3}$
$= q(q - 7) - 3(q - 7)$
$ = (q - 7)(q - 3)$

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