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Simplify the expression
`\frac(1)(x^2+4 x+3) - \frac(1)(x^2-3 x - 4)`
and give your answer in the form of
`\frac(f(x))(g(x)).`

Your answer for the function `f(x)` is :  
Your answer for the function `g(x)` is :  

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