Factor the expression.
\[
49 n^{2}-25
\]

Answer

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Answer

\(\boxed{(7n - 5)(7n + 5)}\) is the final answer.

Steps

Step 1 ：Given the expression \(49 n^{2}-25\).

Step 2 ：Recognize this as a difference of squares problem. The difference of squares formula is \(a^2 - b^2 = (a - b)(a + b)\).

Step 3 ：In this case, \(a = 7n\) and \(b = 5\).

Step 4 ：So, we can factor the expression as \((7n - 5)(7n + 5)\).

Step 5 ：\(\boxed{(7n - 5)(7n + 5)}\) is the final answer.