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\left(5-8a\right)\left(5+8a\right)
Rewrite 25-64a^{2} as 5^{2}-\left(8a\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
\left(-8a+5\right)\left(8a+5\right)
Reorder the terms.