Factorize:

3m2 + 24m + 36

Given,


3m2 + 24m + 36


Now first find the numbers whose-


Sum = 24 and


Product = 36 × 3 = 108


Required numbers are 18 and 6,


So we get;


3m2 + 24m + 36


= 3m2 + 18m + 6m + 36


= 3m(m + 6) + 6(m + 6)


= (m + 6)(3m + 6)


39