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Factorisation by Regrouping Terms

Factrorise by...

Question

Factrorise by middle splitting $x^{2} - 22 x + 120$ .

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Solution

Given,
$x^{2} - 22 x + 120$
$= x^{2} - 12 x - 10 x + 120$
$= x (x - 12) - 10 (x - 12)$
$= (x - 12) (x - 10)$

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