Question

Factorize by splitting the middle term: 3m2 + 9m + 6

Answer 1

3m^2+9m +6

product = 18

sum = 9

3m^2+6m+ 3m +6

3m( m + 2) +3 (m + 2)

(m+2) (3m + 3)

There you go

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

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