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Which equation is equivalent to 9n2-25?

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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).

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