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Rewrite the fraction $\frac{x^2}{\left(x-3\right)^2\left(x-2\right)^2}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{x^2}{\left(x-3\right)^2\left(x-2\right)^2}=\frac{A}{\left(x-3\right)^2}+\frac{B}{\left(x-2\right)^2}+\frac{C}{x-3}+\frac{D}{x-2}$
Learn how to solve problems step by step online. Integrate the function (x^2)/((x-3)^2(x-2)^2) from 1 to 8. Rewrite the fraction \frac{x^2}{\left(x-3\right)^2\left(x-2\right)^2} in 4 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x-3\right)^2\left(x-2\right)^2. Multiplying polynomials. Simplifying.