Chapter 11.7, Problem 69SR

To determine

To factor: the given polynomial

Answer to Problem 69SR

Therefore, the factors are $[(a-11)(a+11)]$

Explanation of Solution

Given:

  $a^2-121$

Calculation:

The polynomial is factorized below.

  $\begin{array}{l}{a}^2-121\\ =a^2-{11}^2\left[a^2-b^2=(a+b)(a-b)\right]\\ =(a-11)(a+11)\end{array}$

Therefore, the factors are $[(a-11)(a+11)]$

Conclusion:

Therefore, the factors are $[(a-11)(a+11)]$