Factorise: 9 m^2+24 m+16 - Vidyadip

Question

Factorise:
$9 m^2+24 m+16$

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Answer

$9 m^2+24 m+16$
$\left.=9(3 m)^2+2 \times 3 m \times 4+(4)^2\right]$
$=(3 m+4)^2$
$\{\therefore a 2+2 a b+b 2=(a+b) 2\}$

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