25²-24²=

To solve \( 25^2 - 24^2 \), you can apply the difference of squares formula, which states:

\[ a^2 - b^2 = (a - b)(a + b) \]

Here, \( a = 25 \) and \( b = 24 \).

So, we get:

\[ 25^2 - 24^2 = (25 - 24)(25 + 24) \]

Calculating each part:

\[ 25 - 24 = 1 \] \[ 25 + 24 = 49 \]

Now, multiply the two results:

\[ 1 \times 49 = 49 \]

Therefore, \( 25^2 - 24^2 = 49 \).