The rational expression is .

Because the degree of the numerator is greater than the degree of the denominator, the rational expression is improper.

To rewrite the expression, divide the numerator by the denominator.

The expression can be written as .

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Consider .

Rewrite the expression into partial fraction.

Equate coefficients.

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Equate constants.

Substitute .

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Substitute in .

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Substitute and in .

.

Substitute in .

The partial fraction decomposition is .

The partial fraction decomposition is .