The expression is equivalent to "[tex]\frac{22x+48}{x^2-36}[/tex]".
Given expression:
- [tex]\frac{15}{x-6}+\frac{7}{x+6}[/tex]
By taking L.C.M, we get
→ [tex]\frac{15(x+6)+7(x-6)}{(x-6)(x+6)}[/tex]
→ [tex]\frac{15x+90+7x-42}{x^2-36}[/tex]
→ [tex]\frac{22x+48}{x^2-36}[/tex]
Thus the response above i.e., "option D" is correct.
Learn more about denominator here:
https://brainly.com/question/7067665
