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