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