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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
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$\frac{x^2-x+1+\frac{1}{4}-\frac{1}{4}}{\left(x^2-1\right)\left(x-1\right)^3}$
Learn how to solve problems step by step online. Factor by completing the square (x^2-x+1)/((x^2-1)(x-1)^3). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-1x+\frac{1}{4}. Subtract the values 1 and -\frac{1}{4}. Factor the difference of squares \left(x^2-1\right) as the product of two conjugated binomials.