Question

Factorise:

$3m^2+24m+36$

Answer 1

$3m^2+24m+36=3\{m^2+8m+12\}=3\{m^2+6m+2m+12\}\left\{\begin{array}{c}\because 12=6\times 2\\ 8=6+2\end{array}\right\}=3\left\{m\right(m+6)+2(m+6\left)\right\}=3(m+6)(m+2)$