Question 89 (iii)

Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$

$x^{2} + 14 x + 49$

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Solution

We have, $x^{2} + 14 x + 49$
$= x^{2} + 2.7. x + 7^{2} = (x + 7)^{2} = (x + 7) (x + 7)$

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