(x+1)(x-3) using the FOIL method and explain it well.

Let's multiply the expression \((x + 1)(x - 3)\) using the **FOIL method**.

The FOIL method is used to multiply two binomials. FOIL stands for:
- **F**: First
- **O**: Outer
- **I**: Inner
- **L**: Last

### Step-by-Step Explanation:

Given:
\[
(x + 1)(x - 3)
\]

#### Step 1: Multiply the **First** terms
- First terms: \(x\) and \(x\).
- Multiply: \(x \cdot x = x^2\).

#### Step 2: Multiply the **Outer** terms
- Outer terms: \(x\) and \(-3\).
- Multiply: \(x \cdot -3 = -3x\).

#### Step 3: Multiply the **Inner** terms
- Inner terms: \(1\) and \(x\).
- Multiply: \(1 \cdot x = x\).

#### Step 4: Multiply the **Last** terms
- Last terms: \(1\) and \(-3\).
- Multiply: \(1 \cdot -3 = -3\).

#### Step 5: Combine all terms
Now, add all the terms from the FOIL steps:
\[
x^2 - 3x + x - 3
\]

#### Step 6: Combine like terms
- Combine \(-3x\) and \(x\):
\[
x^2 - 2x - 3
\]

### Final Answer:
\[
(x + 1)(x - 3) = x^2 - 2x - 3
\]

Would you like to go into more detail or have any questions?

Here are 5 related questions for you:
1. How do you use the FOIL method to multiply \((x - 2)(x + 5)\)?
2. What is the result of \((x + 4)(x + 6)\) using FOIL?
3. Can you expand \((2x + 1)(x - 3)\) using the FOIL method?
4. How does the distributive property relate to the FOIL method?
5. What happens when you use the FOIL method on \((x - 1)(x - 1)\)?

**Tip**: Always organize your work when using the FOIL method to ensure you multiply each pair of terms correctly.

The query submitted by the user: (x+1)(x-3) using the FOIL method and explain it well.

Explore how to expand the expression (x + 1)(x - 3) using the FOIL method. This detailed, step-by-step guide covers essential algebraic concepts like binomials and the distributive property, perfect for students in Grades 7-9.

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