Math the multiplication problem on the left with its product on the right. (1 point)

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(x-7)(x+2)
(x-3)(x+3)
4(x+4)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the multiplication problems and find their products:

1. **For (x - 7)(x + 2)**:
- Use the distributive property (FOIL method):
- First: \(x \cdot x = x^2\)
- Outside: \(x \cdot 2 = 2x\)
- Inside: \(-7 \cdot x = -7x\)
- Last: \(-7 \cdot 2 = -14\)
- Combine like terms: \(x^2 + 2x - 7x - 14 = x^2 - 5x - 14\)

2. **For (x - 3)(x + 3)**:
- This is a difference of squares:
- \(x^2 - 9\) (since \(-3 \cdot 3 = -9\))

3. **For 4(x + 4)**:
- Distribute 4:
- \(4x + 16\)

Now, we can match the products to their corresponding expressions.

- \( (x - 7)(x + 2) \) yields \( x^2 - 5x - 14 \)
- \( (x - 3)(x + 3) \) yields \( x^2 - 9 \)
- \( 4(x + 4) \) yields \( 4x + 16 \)

Assuming the right-hand side contains the products, we have:

- Match: \( (x-7)(x+2) \) with its product \( x^2 - 5x - 14 \)
- Match: \( (x-3)(x+3) \) with its product \( x^2 - 9 \)
- Match: \( 4(x+4) \) with its product \( 4x + 16 \)

If you can provide the specific options for the products on the right, I can help you match them accordingly!