25p^2 - 4/121

This is a difference of squares, in the form of $$a^2 - b^2 = (a-b)(a+b)$$.

Here, $$a^2 = 25p^2$$, so $$a = 5p$$. Also, $$b^2 = 4/121$$, so $$b=2/11$$.

Thus, the factored form is $$(5p - 2/11)(5p + 2/11)$$.