Solve for: x^2-22x+121

Expression: ${x}^{2}-22x+121$

Write the expression as a product with the factors $x$ and $11$

${x}^{2}-2 \times x \times 11+121$

Write the number in the exponential form with an exponent of $2$

${x}^{2}-2 \times x \times 11+{11}^{2}$

Use ${a}^{2}-2ab+{b}^{2}={\left( a-b \right)}^{2}$ to factor the expression

${\left( x-11 \right)}^{2}$