We are given the following expression
[tex](x-11)^2[/tex]Let us simplify the above expression.
Recall the formula of perfect square trinomials given by
[tex](a-b)^2=a^2-2ab+b^2[/tex]Let us apply the above formula to the given expression.
a = x
b = 11
[tex]\begin{gathered} (x-11)^2=x^2-2(x)(11)+11^2 \\ (x-11)^2=x^2-22x+121 \end{gathered}[/tex]Therefore, the simplified expression is
[tex]x^2-22x+121[/tex]