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(a + b)^2 Expansion and Visualisation

Factorise : ...

Question

Factorise :
$x^{2} - 22 x + 117$

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Solution

To Factorise : $x^{2} - 22 x + 117$
By splitting the middle term
$= x^{2} - 13 x - 9 x + 117$
$= x (x - 13) - 9 (x - 13)$
$= (x - 9) (x - 13)$
So, $x^{2} - 22 x + 117 = (x - 9) (x - 13)$

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