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