Answer:
[tex]\frac{2(7a + 12)}{(a + 6)^{2} \times (a - 6)}[/tex]
Step-by-step explanation:
We have to add the following fractions
[tex]\frac{5}{a^{2} +12a + 36} + \frac{9}{a^{2}-36 }[/tex]
= [tex]\frac{5}{(a + 6)^{2} } + \frac{9}{(a + 6)(a - 6)} }[/tex]
= [tex]\frac{5(a - 6) + 9( (a + 6)}{(a + 6)^{2} \times (a - 6) }[/tex]
= [tex]\frac{5a - 30 + 9a + 54}{(a + 6)^{2} \times (a - 6)}[/tex]
= [tex]\frac{14a + 24}{(a + 6)^{2} \times (a - 6)}[/tex]
= [tex]\frac{2(7a + 12)}{(a + 6)^{2} \times (a - 6)}[/tex] (Answer)
