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.