Question

Perform the indicated operation and simplify the result. Leave your answer in factored form.


`(x)/(x^(2) -9) +(9)/(x)`

Answer 1

x / (x^2-9) + 9/x

x^2 / x(x^2-9) + 9(x^2-9) / x(x^2-9)

x^2 + 9(x^2-9) / x(x^2-9)

x^2 + 9x^2 -81

10x^2 -81 / x^3 -9x is the answer

Answer 2

`(x )/(x^(2)-9 ) +(9)/(x)=(x^(2) )/(x(x^(2)-9) )+(9(x^(2)-9) )/(x(x^(2) -9))\\\\=(10x^(2) -81)/(x(x-3)(x+3))`

Explanation: