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Find the partial fraction decomposition:

{eq}\frac{x^2 - 12x + 18}{x(x-3)^2}. {/eq}

Question:

Find the partial fraction decomposition:

{eq}\frac{x^2 - 12x + 18}{x(x-3)^2}. {/eq}

Partial Fraction Decomposition:

The partial fraction decomposition method simplifies a complex rational fraction by dividing it into a sum of simpler rational fractions. The partial fraction decomposition is used in integration to solve complex rational fractions.

Answer and Explanation: 1

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Given:

{eq}\displaystyle \frac{x^2 - 12x + 18}{x(x-3)^2} {/eq}

On partial fraction decomposition, we get

{eq}\displaystyle...

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Partial Fraction Decomposition: Rules & Examples

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Chapter 3 / Lesson 25
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Learn about how to carry out partial fraction decomposition with polynomial fractions. Discover example equations and walkthroughs of partial fraction decomposition.


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