Question

11) Add the fractions. If possible, simplify your answer

5/(a^2+12a+36) + 9/(a^2-36)

Answer 1

`(2(7a + 12))/((a + 6)^(2) * (a - 6))`

Explanation:

We have to add the following fractions

`(5)/(a^(2) +12a + 36) + (9)/(a^(2)-36 )`

=
`(5)/((a + 6)^(2) ) + (9)/((a + 6)(a - 6)) }`

=
`(5(a - 6) + 9( (a + 6))/((a + 6)^(2) * (a - 6) )`

=
`(5a - 30 + 9a + 54)/((a + 6)^(2) * (a - 6))`

=
`(14a + 24)/((a + 6)^(2) * (a - 6))`

=
`(2(7a + 12))/((a + 6)^(2) * (a - 6))` (Answer)