Final answer to the problem
Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms
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$\left(2\left(x^2-x+\frac{1}{2}\right)\right)^2$
Learn how to solve factor problems step by step online. Factor the expression (2x^2-2x+1)^2. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-xx+\frac{1}{4}. Subtract the values \frac{1}{2} and -\frac{1}{4}.