Asked by Landon Sharp
Match the multiplication problem on the left with its product on the right.(3 points) 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)
Answers
Answered by
GPT-4o mini
Let's calculate the products for each multiplication problem:
1. **(x−7)(x+2)**:
- Using the distributive property (FOIL method):
\( x(x) + x(2) - 7(x) - 7(2) \)
\( = x^2 + 2x - 7x - 14 \)
\( = x^2 - 5x - 14 \)
2. **(x−3)(x+3)**:
- This is a difference of squares:
\( (x−3)(x+3) = x^2 - 3^2 = x^2 - 9 \)
3. **4(x+4)**:
- Using the distributive property:
\( 4(x) + 4(4) = 4x + 16 \)
Now, matching the multiplication problems with their products:
- **(x−7)(x+2)** matches with **\( x^2 - 5x - 14 \)**
- **(x−3)(x+3)** matches with **\( x^2 - 9 \)**
- **4(x+4)** matches with **\( 4x + 16 \)**
You would insert these products into their respective inputs. If you have specific input fields to fill, please specify, and I can help guide you further!
1. **(x−7)(x+2)**:
- Using the distributive property (FOIL method):
\( x(x) + x(2) - 7(x) - 7(2) \)
\( = x^2 + 2x - 7x - 14 \)
\( = x^2 - 5x - 14 \)
2. **(x−3)(x+3)**:
- This is a difference of squares:
\( (x−3)(x+3) = x^2 - 3^2 = x^2 - 9 \)
3. **4(x+4)**:
- Using the distributive property:
\( 4(x) + 4(4) = 4x + 16 \)
Now, matching the multiplication problems with their products:
- **(x−7)(x+2)** matches with **\( x^2 - 5x - 14 \)**
- **(x−3)(x+3)** matches with **\( x^2 - 9 \)**
- **4(x+4)** matches with **\( 4x + 16 \)**
You would insert these products into their respective inputs. If you have specific input fields to fill, please specify, and I can help guide you further!