Chapter 12.1, Problem 1MRE

To determine

To Express: The square ${\left(x-11\right)}^2$ as a trinomial.

Answer to Problem 1MRE

The required answer is $x^2-22x+121$ .

Explanation of Solution

Given information:

  ${\left(x-11\right)}^2$

Calculation:

  $\begin{array}{l}{\left(x-11\right)}^2\\ =x^2-2\cdot x\cdot 11+{11}^2\end{array}$

(Using ${\left(x+a\right)}^2=x^2+2ax+a^2$ )

  $=x^2-22x+121$

(Simplify)

So, the required trinomial is $x^2-22x+121$ .