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

Question

Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2$
$4 x^2+12 x+9$

✓

Answer

$4x^2+ 12x + 9$
$= (2x)^2+ 2 × 2x × 3 + 3^2$
$= (2x + 3)^2$
$= (2x + 3)(2x + 3)$

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