$\"\"$

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The rational expression is $\"\"$ .

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In the above expression is proper and its denominator $\"\"$ , m = 2.

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The form of decomposition of expression is $\"\"$ . $\"\"$ (Write form of decomposition)

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Apply rule of exponents) $\"\"$

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Equating coefficient of like terms $\"\"$ on opposite sides of the equation, produces the following system of linear equations.

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$\"\"$ (Write equation 1)

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$\"\"$ (Write equation 2)

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$\"\"$ (Write equation 3)

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$\"\"$ (Write equation 4)

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The value of $\"\"$ substitute in third equation to obtain $\"\"$ .

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The value of $\"\"$ substitute in third equation to obtain $\"\"$ .

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So, the partial fraction decomposition is $\"\"$ . $\"\"$

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