You want to simplify the expression \((a + 3)(a - 1)\).

To do this, we'll use the distributive property (also known as the FOIL method for binomials):

\[
(a + 3)(a - 1) = a(a - 1) + 3(a - 1)
\]

Now, distribute:

\[
= a^2 - a + 3a - 3
\]

Finally, combine like terms:

\[
a^2 + 2a - 3
\]

So, \((a + 3)(a - 1) = a^2 + 2a - 3\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you factor quadratic expressions like \(a^2 + 2a - 3\)?
2. What is the significance of the distributive property in algebra?
3. How does the FOIL method work for multiplying binomials?
4. What are like terms and how do you combine them?
5. Can this expression be graphed, and if so, how would it look?

**Tip:** When multiplying binomials, remember to multiply each term in the first binomial by every term in the second binomial.

Learn how to simplify the expression (a + 3)(a - 1) by applying the distributive property (FOIL method). This solution covers key algebraic concepts like binomial multiplication and combining like terms, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation