Answer
The two binomials are $x+11$ and $x-11$.
Work Step by Step
We know that $x^{2}-y^{2}=(x+y)(x-y)$
Let $y^{2}=121$. Then, $y=11$ and
$x^{2}-121=(x+11)(x-11)$
The two binomials are $x+11$ and $x-11$.
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