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

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(x-7)(x+2)
(x-3)(x+3)
4(x+4)

Answer 1

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!