Answer
3 ( 2a + 3$b^{2}$)( a +b)
Work Step by Step
6$a^{2}$ + 9a$b^{2}$ + 6ab + 9$b^{3}$
(6$a^{2}$ + 6ab) +( 9a$b^{2}$ + 9$b^{3}$) group term
6a(a + b ) + 9$b^{2}$( a + b )
( 6a + 9$b^{2}$ )( a + b)
3 ( 2a + 3$b^{2}$)( a +b) factor 3