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5\left(x^{2}-25y^{2}\right)
Factor out 5.
\left(x-5y\right)\left(x+5y\right)
Consider x^{2}-25y^{2}. Rewrite x^{2}-25y^{2} as x^{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).
5\left(x-5y\right)\left(x+5y\right)
Rewrite the complete factored expression.