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\left(1-7ab\right)\left(1+7ab\right)
Rewrite 1-49a^{2}b^{2} as 1^{2}-\left(7ab\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(-7ab+1\right)\left(7ab+1\right)
Reorder the terms.