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

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Solution

$x^{2} - 22 x + 117 = x^{2} - 13 x - 9 x + 117 {\begin{matrix} ∵ 117 = (- 13) \times (- 9) - 22 = - 13 - 9 \end{matrix}} = x (x - 13) - 9 (x - 13) = (x - 9) (x - 13) A n s .$

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Similar questions

x^{2} - 2 \sqrt{2} x - 30

I. $x^{2} + 22 x + 117 = 0$

II. $y^{2} + 3 y - 40 = 0$

$I. x^2 + 22x + 117 = 0$

$II. y^2 + 3y - 40 = 0$

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