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`(x^2 + 12x + 12)/(x^3 - 4x)` Write the partial fraction decomposition of the rational expression. Check your result algebraically.

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Multiply through by the LCD `x^3+4x.`





Equate coefficient of like terms. Then solve for A, B, and C.











Solve for B and C using the elimination method.



Multiply the first equation by 2. Then solve using the elimination method.











`A=-3, B=-1, C=5`




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