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\left(5-4t\right)\left(5+4t\right)
Rewrite 25-16t^{2} as 5^{2}-\left(4t\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(-4t+5\right)\left(4t+5\right)
Reorder the terms.