The fraction is .

The fraction can be written as .

For each factor in the denominator, create a new fraction using the factor as the denominator,

and an unknown value as the numerator.

Since the factor in the denominator is linear, put a single variable in its place as and .

.

Multiply each fraction in the equation by the denominator of the original expression.

In this case, the denominator is .

Create an equation for the partial fraction variables by equating the coefficients of from

each side of the equation.

For the equation to be equal, the equivalent coefficients on each side of the equation

must be equal.

Solve the equations by adding equations and .

Substiute in equation .

Therefore, and .

The original partial fraction expression contains the variables from the system of equations.

The partial fraction decomposition of is .