# 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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