$\"\"$

\

In the proper fraction $\"\"$ ,the denominator in factor of the form $\"\"$ , the partial fraction decomposition must include following sum of m fractions, $\"\"$ .

\

The rational expression is $\"\"$ .

\

In the above expression is proper fraction and its denominator is $\"\"$ .

\

The factor form of denominator, $\"\"$ ,so m = 2.

\

The form of decomposition of expression is $\"\"$ . $\"\"$

\

$\"\"$ (Write form of decomposition)

\

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

\

In the above equation or basic equation, to solve for A and B by using the values $\"\"$ that especially convenient are ones that make the factors $\"\"$ equal to zero.

\

$\"\"$ (Write basic equation)

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ (Simplify)

\

$\"\"$ (Divide each side by 5) $\"\"$

\

$\"\"$ (Write basic equation)

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ (Simplify)

\

$\"\"$ (Divide each side by negative 5)

\

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

\

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