Expanding Binomial Products

Hi Ryan, let's work through this algebra problem where we need to multiply two binomials together.

We have the expression three n plus five, multiplied by seven n plus six. To solve this, we can use the F O I L method, multiplying the first, outer, inner, and last terms.

Starting with the first terms in each binomial, we multiply three n by seven n.

Three times seven is twenty one, and n times n is n squared. So we get twenty one n squared.

Next, let's find the outer and inner products. The outer product is three n times six, which is eighteen n.