The factored form is given by (a+11)(a-11)
Step-by-step explanation:
We have been given the expression ![a^2-121](/tpl/images/0442/8192/bbdfb.png)
We can write ![121=11^2](/tpl/images/0442/8192/aa416.png)
Thus, we have
![a^2-11^2](/tpl/images/0442/8192/84f31.png)
Now, using the formula for difference of squares, which is given by
![a^2-b^2=(a+b)(a-b)](/tpl/images/0442/8192/2fa7a.png)
On comparing the above expression, with the given formula, we get a=a, b=11. Thus, we have
![a^2-11^2=(a+11)(a-11)](/tpl/images/0442/8192/d6786.png)
Therefore, the factored form is given by (a+11)(a-11)