Factorise: $x^{2} - 8 x + 16$

(x - 8) (x - 8)

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(x - 8) (x + 8)

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(x - 4) (x + 4)

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(x - 4) (x - 4)

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Solution

The correct option is D $(x - 4) (x - 4)$
$x^{2} - 8 x + 16 = x^{2} - 2 (4) (x) + 4^{2}$

$= {(x - 4)}^{2}$ ... $[∵ {(a - b)}^{2} = a^{2} - 2 a b + b^{2}]$

$= (x - 4) (x - 4)$

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