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Expand the expression $\left(x+3\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$\int\frac{3x^2+2x+5}{\left(x-3\right)^2\left(x^{2}+6x+9\right)}dx$
Learn how to solve problems step by step online. Find the integral int((3x^2+2x+5)/((x-3)^2(x+3)^2))dx. Expand the expression \left(x+3\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Rewrite the fraction \frac{3x^2+2x+5}{\left(x-3\right)^2\left(x^{2}+6x+9\right)} in 3 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}+6x+9\right). Multiplying polynomials.