Final answer:
The equation equivalent to 9n^2 - 25 is (3n + 5)(3n - 5), factored as a difference of squares.
Step-by-step explanation:
The student asked which equation is equivalent to 9n2 - 25. This expression is a difference of squares, which means it's an algebraic expression where you have the difference (subtraction) between two perfect squares. In this case, 9n2 is a square of 3n, and 25 is a square of 5.
We can factor the difference of squares using the identity a2 - b2 = (a + b)(a - b). Applying this identity to the given expression:
(3n)^2 - 5^2 = (3n + 5)(3n - 5)
So the equation that is equivalent to 9n2 - 25 is (3n + 5)(3n - 5).