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Rewrite the fraction $\frac{3z+7}{\left(z+1\right)\left(z+2\right)\left(z+3\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{3z+7}{\left(z+1\right)\left(z+2\right)\left(z+3\right)}=\frac{A}{z+1}+\frac{B}{z+2}+\frac{C}{z+3}$
Learn how to solve problems step by step online. Find the integral int((3z+7)/((z+1)(z+2)(z+3)))dz. Rewrite the fraction \frac{3z+7}{\left(z+1\right)\left(z+2\right)\left(z+3\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(z+1\right)\left(z+2\right)\left(z+3\right). Multiplying polynomials. Simplifying.