Partial Fraction Decomposition

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Presentation transcript:

Multivariable Linear Systems (Partial Fraction Decomposition) (Section 7-3)

Partial Fraction Decomposition A rational expression can often be written as the sum of two or more simpler rational expressions. For example, the rational expression can be written as the sum of two fractions with linear denominators. That is, . Each fraction on the right side of the each is a partial fraction , and together they make up the partial fraction decomposition of the left side.

Write the partial fraction decomposition for the rational expression. Example 1

Write the partial fraction decomposition for the rational expression. Example 2

Write the partial fraction decomposition for the rational expression. Example 3

Write the partial fraction decomposition for the rational expression. Example 4

HW #55 pg 507 ( 63-73 odd)