To expand the expression \((x - 3)(x + 1)\), you can use the distributive property (also known as FOIL for binomials):

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

Now distribute each term:

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

Simplify the like terms:

\[
= x^2 - 2x - 3
\]

So, the expanded form of \((x - 3)(x + 1)\) is:

\[
x^2 - 2x - 3
\]

Would you like more details or have any questions? Here are 5 related questions to deepen understanding:

1. How would you factor \(x^2 - 2x - 3\) back into binomials?
2. What is the result of \((x - 5)(x + 2)\)?
3. How does the distributive property apply to binomial multiplication?
4. Can you apply this method to \((x + 4)(x - 6)\)?
5. What happens when you multiply two identical binomials, such as \((x - 3)^2\)?

**Tip:** Always look for common factors after expanding to simplify your result!

Learn how to expand and simplify the expression (x - 3)(x + 1) using the distributive property and FOIL method. This tutorial explains key algebraic concepts like binomial multiplication and simplifying quadratic expressions. Ideal for students in Grades 8-10 looking to master binomial expansions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation