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The given expression is \((x + 1)(x - 3)\). Let's expand and simplify it using the distributive property (also known as FOIL for binomials):

### Step-by-step Expansion:
1. Multiply the first terms: \(x \times x = x^2\)
2. Multiply the outer terms: \(x \times -3 = -3x\)
3. Multiply the inner terms: \(1 \times x = x\)
4. Multiply the last terms: \(1 \times -3 = -3\)

### Combine the terms:
\[
x^2 - 3x + x - 3
\]

Simplify by combining like terms:
\[
x^2 - 2x - 3
\]

### Final Answer:
\[
x^2 - 2x - 3
\]

Would you like more details or have any questions? Here are five related questions you can explore:

1. How do you expand the product of two binomials in general?
2. What happens when you multiply two terms with different signs, like \(x \times -3\)?
3. Can you factor the expression \(x^2 - 2x - 3\) back to its original binomials?
4. How does the distributive property apply when expanding expressions?
5. What are the steps to check if your expansion and simplification are correct?

**Tip:** Always double-check your work by factoring back to ensure the expansion is correct!

Learn how to expand and simplify the expression (x + 1)(x - 3) using the distributive property and FOIL method. This step-by-step explanation helps students understand binomial expansion, a key concept in algebra. Suitable for students in Grades 8-10.

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