Question

Match the difference of squares with its factored form. 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. 9x2−121 36x2−25 x2−196

Answer 1

To match the difference of squares with its factored form, we use the formula:

$$a^2-b^2=(a-b)(a+b)$$

Now let's break down the given expressions:

1. 9x² − 121

   • This can be written as (3x)² − (11)².
   • Factored form: (3x - 11)(3x + 11).

2. 36x² − 25

   • This can be written as (6x)² − (5)².
   • Factored form: (6x - 5)(6x + 5).

3. x² − 196

   • This can be written as (x)² − (14)².
   • Factored form: (x - 14)(x + 14).

Based on this analysis, here is the matching:

• 9x² − 121 → (3x - 11)(3x + 11)
• 36x² − 25 → (6x - 5)(6x + 5)
• x² − 196 → (x - 14)(x + 14)

You can match each expression with its respective factored form based on the above explanation.