Match the difference of squares with its factored form.

Question

Not all answer choices will be used.

Reference Sheet - Difference of Two Squares

(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.
36x2−4
36
𝑥
2
−
4
4x2−36
4
𝑥
2
−
36
x2−36
𝑥
2
−
36

Answer 1

To match the difference of squares with its factored form, let's first identify them one by one:

1. \(36x^2 - 4\): This can be factored as \( (6x - 2)(6x + 2) \).

2. \(4x^2 - 36\): This can be factored as \( (2x - 6)(2x + 6) \) or \( 2(x - 3)(x + 3) \) which is \( 2[(x - 3)(x + 3)] \).

3. \(x^2 - 36\): This can be factored as \( (x - 6)(x + 6) \).

Now, let's match the differences with their corresponding factored forms:

• \(36x^2 - 4\) matches with \( (6x - 2)(6x + 2) \).

• \(4x^2 - 36\) matches with \( 2(x - 3)(x + 3) \).

• \(x^2 - 36\) matches with \( (x - 6)(x + 6) \).

If you require further assistance or clarification with how they fit into specific answer choices, please provide those additional details, and I will help accordingly!