How do we multiply binomials

there is one good method to multiply binomials it called F.O.I.L with stand for

• F.irst

• O.uter

• I.nner

• L.ast

for example
(x+3)(x+2)

1. we do the first letter in F.O.I.L. which is first we multiply (x * x) this will give us x^2
2. then we do then next letter which is O.uter we multiply (x * 2) this gives us 2x
3. next we do I.nner we multiply (3 * x) it gives us 3x
4. finally we do L.ast we will multiply (3 * 2) this gives us 6
5. now we got to combine like terms 2x+3x to get 5x  
6. our final answer is x^2+5x+6

link for more help or other methods
http://regentsprep.org/Regents/math/ALGEBRA/AV3/Smul_bin.htm