Final Answer
Step-by-step Solution
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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
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$\frac{x^2}{x^2-x-2+\frac{1}{4}-\frac{1}{4}}$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (x^2)/(x^2-x+-2). Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-1x+\frac{1}{4}. Subtract the values -2 and -\frac{1}{4}. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2.