Answer:
Option c
![4l^2-81](https://img.qammunity.org/2020/formulas/mathematics/high-school/vt52pm99h26n4fscg3491qrzhxiunkgyd5.png)
Step-by-step explanation:
As we have given in the question
![Sum=(2l+9)*(2l-9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/biz012imo08nyksymbi2dtq0jd0i5fyocp.png)
So by using the formula
![(a-b) (a+b) = a^2+ab-ba-b^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/a1n12boqmtttowk9jnbczxewvg47b08vne.png)
So the equation will become
![(a+b)(a-b)=a^2-b^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/x9nlnksf5j1asqxorw2o1bzka3z4sx4345.png)
So according to question, we have ,
a = 2l and b = 9
So,
![(2l+9)(2l-9)=(4l^2-81)](https://img.qammunity.org/2020/formulas/mathematics/high-school/atkky4hyr60ji6opu8nbo6rns302z6omvw.png)
And required Sum=
![(4l^2-81)](https://img.qammunity.org/2020/formulas/mathematics/high-school/it2ytd670ya402or0473ynx6glffhpslzq.png)
So the final answer of the question which is required is Sum=
![(4l^2-81)](https://img.qammunity.org/2020/formulas/mathematics/high-school/it2ytd670ya402or0473ynx6glffhpslzq.png)