Factor the binomial completely. \[ x^{2}-\frac{1}{25} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $x^{2}-\frac{1}{25}=\square$ (Factor completely. Simplify your answer. Use integers or fractions for any numbers in the expression. B. The polynomial is prime.

Step 1 ：Given expression is \(x^{2} - \frac{1}{25}\)

Step 2 ：This is a difference of squares, which follows the pattern \(a^{2} - b^{2} = (a - b)(a + b)\)

Step 3 ：In this case, \(a = x\) and \(b = \frac{1}{5}\) (since \((\frac{1}{5})^{2} = \frac{1}{25}\))

Step 4 ：So, we can factor the expression as follows: \(x^{2} - \frac{1}{25} = (x - \frac{1}{5})(x + \frac{1}{5})\)

Step 5 ：So, the correct choice is A. \(x^{2} - \frac{1}{25} = (x - \frac{1}{5})(x + \frac{1}{5})\)

Step 6 ：Final Answer: \(\boxed{(x - \frac{1}{5})(x + \frac{1}{5})}\)