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\left(14-11b\right)\left(14+11b\right)
Rewrite 196-121b^{2} as 14^{2}-\left(11b\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(-11b+14\right)\left(11b+14\right)
Reorder the terms.