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The rational expression is $\"\"$ .

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The partial fraction decomposition is $\"\"$ .

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Multiply with $\"\"$ on both sides.

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$\"\"$ .

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$\"\"$ .

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Let $\"\"$ , then $\"\"$ .

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$\"\"$

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Let $\"\"$ , then $\"\"$

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$\"\"$

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Let $\"\"$ , then $\"\"$ .

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$\"\"$

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Solve the system of equations $\"\"$ and $\"\"$ .

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$\"\"$

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Substiute the value $\"\"$ in equation $\"\"$ .

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$\"\"$

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Substitute the value of $\"\"$ and $\"\"$ in equation $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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Partial fraction decomposition is $\"\"$ .

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Partial fraction decomposition is $\"\"$ .