Use the Distributive Property to find which expression is equivalent to 9x − 25 .(1 point) 2

To use the Distributive Property and check for equivalent expressions to \(9x - 25\), we will analyze each option given:

1. **Option 1: \((3x + 5)(3x - 5)\)**

This expression is a difference of squares, which can be expanded as follows:
\[
(3x + 5)(3x - 5) = (3x)^2 - (5)^2 = 9x^2 - 25
\]
This is not equivalent to \(9x - 25\).

2. **Option 2: \((3x + 5)\)**

This is a single term and does not represent \(9x - 25\). Thus, it is not equivalent.

3. **Option 3: \((4.5x + 12.5)(4.5x - 12.5)\)**

Similar to Option 1, this is also a difference of squares:
\[
(4.5x + 12.5)(4.5x - 12.5) = (4.5x)^2 - (12.5)^2 = 20.25x^2 - 156.25
\]
This is not equivalent to \(9x - 25\).

4. **Option 4: \(9x(x - 25)\)**

This expression can be simplified using the Distributive Property:
\[
9x(x - 25) = 9x^2 - 225x
\]
This is also not equivalent to \(9x - 25\).

Based on evaluating all options, none of the provided expressions are equivalent to \(9x - 25\).

If you have any other expressions or need further assistance, feel free to ask!