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4\left(s^{2}-25t^{2}\right)
Factor out 4.
\left(s-5t\right)\left(s+5t\right)
Consider s^{2}-25t^{2}. Rewrite s^{2}-25t^{2} as s^{2}-\left(5t\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
4\left(s-5t\right)\left(s+5t\right)
Rewrite the complete factored expression.