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\left(3-5u\right)\left(3+5u\right)
Rewrite 9-25u^{2} as 3^{2}-\left(5u\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(-5u+3\right)\left(5u+3\right)
Reorder the terms.