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25x^{2}-64
Calculate 8 to the power of 2 and get 64.
\left(5x-8\right)\left(5x+8\right)
Rewrite 25x^{2}-64 as \left(5x\right)^{2}-8^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).