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Rewrite the fraction $\frac{x-1}{\left(2x+3\right)\left(x+5\right)^2}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{x-1}{\left(2x+3\right)\left(x+5\right)^2}=\frac{A}{2x+3}+\frac{B}{\left(x+5\right)^2}+\frac{C}{x+5}$
Learn how to solve problems step by step online. Find the integral int((x-1)/((2x+3)(x+5)^2))dx. Rewrite the fraction \frac{x-1}{\left(2x+3\right)\left(x+5\right)^2} 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(2x+3\right)\left(x+5\right)^2. Multiplying polynomials. Simplifying.