Factor completely.25, minus, 9, x, squared25−9x 2

Sure, here is the step-by-step solution:

1. Identify the given expression: 25 - 9x^2

2. Recognize that this is a difference of squares. The difference of squares is a special case in algebra where a^2 - b^2 can be factored into (a - b)(a + b).

3. In this case, a^2 is 25 and b^2 is 9x^2. Therefore, a is 5 (since 5^2 = 25) and b is 3x (since (3x)^2 = 9x^2).

4. Apply the difference of squares formula to get: (5 - 3x)(5 + 3x)

So, the expression 25 - 9x^2 is completely factored as (5 - 3x)(5 + 3x).