Completely factor the polynomial, if possible.
\[
25 y^{2}-x^{2}
\]

Answer

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Answer

The factored form of the polynomial is \(\boxed{-(x - 5y)(x + 5y)}\).

Steps

Step 1 ：This is a difference of squares problem. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). In this case, a = 5y and b = x.

Step 2 ：So, we can factor the polynomial as (5y - x)(5y + x).

Step 3 ：The factored form of the polynomial is \(\boxed{-(x - 5y)(x + 5y)}\).