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\left(4k-11m\right)\left(4k+11m\right)
Rewrite 16k^{2}-121m^{2} as \left(4k\right)^{2}-\left(11m\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-11m+4k\right)\left(11m+4k\right)
Reorder the terms.