Question

factorise 3m square + 9m+6

Answer 1

3m^2+9m+6=0
3m^2+3m+6m+6=0
3m (m+1)+6 (m+1)=0
(3m+6)(m+1)=0
3m+6=0 or m+1=0
3m=-6
m=-6/3 m=-1
=-2
so zeroes of given equation are -2 , -1.☺

Answer 2

$\rm{3m^2+9m+6}$

$\rm{=3m^2+3\cdot \:3m+3\cdot \:2}$

Factor out Common Term 3

$\rm{=3\left[m^2+3m+2\right]}$

Break The Expression into Groups

$\rm{=3\left[m^2+m+2m+2\right]}$

$\rm{=3\left[(m^2+m)+(2m+2)\right]}$

$\rm{=3\left[m\left(m+1\right)+2\left(m+1\right)\right]}$

Factor out Common Term m + 1

$\rm{=3\left(m+1\right)\left(m+2\right)}$