## Expanding the Expression (7n - 2)(n + 3)

This article will walk you through the process of expanding the expression (7n - 2)(n + 3). This type of expression is called a **binomial product**, and we can use the **FOIL** method to simplify it.

### What is FOIL?

FOIL is an acronym that stands for **First, Outer, Inner, Last**. This method helps us remember to multiply each term in the first binomial by each term in the second binomial:

**First:**Multiply the first terms of each binomial.**Outer:**Multiply the outer terms of the two binomials.**Inner:**Multiply the inner terms of the two binomials.**Last:**Multiply the last terms of each binomial.

### Expanding (7n - 2)(n + 3)

Let's apply FOIL to our expression:

**First:**(7n)(n) = 7n²**Outer:**(7n)(3) = 21n**Inner:**(-2)(n) = -2n**Last:**(-2)(3) = -6

Now we have: 7n² + 21n - 2n - 6

Finally, combine the like terms: **7n² + 19n - 6**

### Conclusion

By using the FOIL method, we have successfully expanded the expression (7n - 2)(n + 3) to obtain **7n² + 19n - 6**. This technique is essential for simplifying polynomial expressions and solving various algebraic problems.