Factorise the following, using the identity a^2+2 a b+b^2=(a+b)^2… - Vidyadip

Question

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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Answer

$x^2+14 x+49$
$=x^2+2 \times 7 \times x+7^2$
$=(x+7)^2$
$= (x + 7)(x + 7)$

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