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The trinomial $\left(x^2+8x+16\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=8^2-4\left(1\right)\left(16\right) = 0$
Learn how to solve special products problems step by step online. Find the integral int((2x+25)/((x^2+8x+16)(x^2+1)))dx. The trinomial \left(x^2+8x+16\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{2x+25}{\left(x+4\right)^{2}\left(x^2+1\right)} in 3 simpler fractions using partial fraction decomposition.