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Rewrite the fraction $\frac{2x^2-5x-2}{\left(x-2\right)^2\left(x-1\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{2x^2-5x-2}{\left(x-2\right)^2\left(x-1\right)}=\frac{A}{\left(x-2\right)^2}+\frac{B}{x-1}+\frac{C}{x-2}$
Learn how to solve problems step by step online. Find the integral int((2x^2-5x+-2)/((x-2)^2(x-1)))dx. Rewrite the fraction \frac{2x^2-5x-2}{\left(x-2\right)^2\left(x-1\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x-2\right)^2\left(x-1\right). Multiplying polynomials. Simplifying.