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The trinomial $\left(x^2-2x+1\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve integral calculus problems step by step online. Find the integral int((x^2-2x+1)^3)dx. The trinomial \left(x^2-2x+1\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. Simplify \left(\left(x-1\right)^{2}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3.