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

[tex]\frac{x}{x^{2} -9} +\frac{9}{x}[/tex]

Respuesta :

Answer:

[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]

Step-by-step explanation:

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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

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