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b\left(m^{2}n^{2}-9r^{2}\right)
Factor out b.
\left(mn-3r\right)\left(mn+3r\right)
Consider m^{2}n^{2}-9r^{2}. Rewrite m^{2}n^{2}-9r^{2} as \left(mn\right)^{2}-\left(3r\right)^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
b\left(mn-3r\right)\left(mn+3r\right)
Rewrite the complete factored expression.