Question 314079
This is what I call "Advanced Trinomial Factoring."  Realize that a TRINOMIAL usually factors into the product of two binomials.
8t^2+8t+9


The first times first will probably begin with 4t *2t
(4t+____)(2t+____)


The last times last will probably be 3*3.  The question is this:  Will your middle term come out to 18t.
(4t+3)(2t+3)  The middle term is 4t*3 + 3*2t, which is 12t +6t, which is correct 18t, and this is correct.


Final answer (4t+3)(2t + 3)