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The trinomial $\left(x^2-6x+9\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-6^2-4\left(1\right)\left(9\right) = 0$
Learn how to solve problems step by step online. Find the integral int((x^2-2x+1)/(x(x^2-6x+9)))dx. The trinomial \left(x^2-6x+9\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Rewrite the fraction \frac{x^2-2x+1}{x\left(x-3\right)^{2}} in 3 simpler fractions using partial fraction decomposition.