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xy\left(1-25y^{2}\right)
Factor out xy.
\left(1-5y\right)\left(1+5y\right)
Consider 1-25y^{2}. Rewrite 1-25y^{2} as 1^{2}-\left(5y\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-5y+1\right)\left(5y+1\right)
Reorder the terms.
xy\left(-5y+1\right)\left(5y+1\right)
Rewrite the complete factored expression.