Write the partial fraction decomposition of the rational expression. Check your result algebraically.

You need to decompose the fraction into irreducible fractions, such that:

You need to bring the fractions to a common denominator:

You need to group the terms having the same power of x:

You need to decompose the fraction into irreducible fractions, such that:

You need to bring the fractions to a common denominator:

You need to group the terms having the same power of x:

Comparing both sides yields:

A - B + C = 0 => 2A + C = 0

Adding the relations yields:

Hence, the partial fraction decomposition is