Answer:
[tex]6x-11[/tex]
Step-by-step explanation:
Factor the numerator [tex]36x^2-121[/tex]:
[tex]\implies 36x^2-121=(6x+11)(6x-11)[/tex]
Therefore,
[tex]\dfrac{36x^2-121}{6x+11}=\dfrac{(6x+11)(6x-11)}{6x+11}[/tex]
Cancel the common factor [tex](6x + 11)[/tex]:
[tex]\implies\dfrac{(6x+11)(6x-11)}{6x+11}=6x-11[/tex]
Therefore,
[tex]\dfrac{36x^2-121}{6x+11}=6x-11[/tex]
