6g² + 13gd + 6d²

It factors into two binomials:

- 1st terms are factors of 6g²........6g and g.....or .....3g and 2g

- 2nd terms are factors of 6d², when you put them in, the outer and inner terms of

the foil method need to combine to make 13gd.......2d and 3d

6g² + 13gd + 6d²

=

**(3g + 2d)(2g + 3d)**

outer terms = 9gd

inner terms = 4gd

combined = 13gd {therefore, these are the correct factors}

*© Algebra House*