How to Find the Product of Two Binomials

To find the product of two binomials, you can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which refers to the order in which you multiply the terms in the binomials.

Let’s say you have two binomials: (a + b) and (c + d).

1. First: Multiply the first terms in each binomial: a * c.
2. Outer: Multiply the outer terms: a * d.
3. Inner: Multiply the inner terms: b * c.
4. Last: Multiply the last terms in each binomial: b * d.

After performing these multiplications, you add all the results together:

(a + b)(c + d) = ac + ad + bc + bd

Here’s an example:

Let’s find the product of (x + 3) and (x + 2).

1. First: x * x = x2
2. Outer: x * 2 = 2x
3. Inner: 3 * x = 3x
4. Last: 3 * 2 = 6

Now, add all the results together:

x2 + 2x + 3x + 6 = x2 + 5x + 6

So, the product of (x + 3) and (x + 2) is x2 + 5x + 6.