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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
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$\left(x^2+x+1+\frac{1}{4}-\frac{1}{4}\right)^2\left(x-2\right)$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (x^2+x+1)^2(x-2). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+x+\frac{1}{4}. Subtract the values 1 and -\frac{1}{4}. Calculate the square root of \frac{1}{4}.