How do you multiply binomials by a binomial

There are a couple of ways

(3x + 4)(2x + 5)using FOIL (first,outside,inside,last)
F -- multiply first terms in each set3x * 2x = 6x^2
O -- multiply outside terms in each set...3x * 5 = 15x
I -- multiply inside terms in each set4 * 2x = 8x
L -- multiply last terms in each set...4 * 5 = 20
now we have
6x^2 + 15x + 8x + 20
combine like terms
6x^2 + 23x + 20 <===

or this way...
(3x + 4)(2x + 5)...distribute the 3x through the parenthesis, and then the 4 through the parenthesis...
3x(2x + 5) + 4(2x + 5) = 6x^2 + 15x + 8x + 20 = 6x^2 + 23x + 20 <==