Factorise: 3 m^2+24 m+36 - Vidyadip

Question

Factorise:
$3 m^2+24 m+36$

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Answer

$3 m^2+24 m+36$
$=3\left(m^2+8 m+12\right)$
$=3\left(m^2+6 m+2 m+12\right)$
$\{12=6 \times 2,8=6+2,\}$
$=33(m+6)+(m+2)$
$=(2 x-3)(3 x+2)$

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