Factorise: $x^{2} + 10 x + 25$

(x + 2) (x + 5)

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(x + 5) (x + 5)

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(x + 5) (x + 2)

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{(x + 2)}^{2}

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Solution

The correct option is B $(x + 5) (x + 5)$
$x^{2} + 10 x + 25 = x^{2} + 2 (5) (x) + 5^{2}$

$= {(x + 5)}^{2}$ ... $[∵ {(a + b)}^{2} = a^{2} + 2 a b + b^{2}]$

$= (x + 5) (x + 5)$

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Similar questions

Factorise: $x^{2} + 10 x + 25$

x^{2} + \frac{1}{x^{2}} + 2 - 5 x - \frac{5}{x}

x^{2} + 10 x + 25 =

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