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The rational expression is $\"\"$ .

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Partial fraction decomposition is,

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$\"\"$ $\"\"$ equation $\"\"$

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$\"\"$

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Multiply each side by $\"\"$ .

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$\"\"$

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Equate $\"\"$ coefficients.

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$\"\"$

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$\"\"$ equation $\"\"$

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Equate $\"\"$ coefficients.

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$\"\"$ equation $\"\"$

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Equate $\"\"$ coefficients.

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$\"\"$ equation $\"\"$

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Equate constants.

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$\"\"$ equation $\"\"$

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Solve the above equations.

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Substitute equation $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$ equation $\"\"$

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Substitute equation $\"\"$ and equation $\"\"$ in equation $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the equation $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$ equation $\"\"$

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Substitute $\"\"$ and $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$ equation $\"\"$

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Add equation $\"\"$ and equation $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in equation $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$ .