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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: $(a-b)^2=a^2-2ab+b^2$
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$2\left(x^2-8x+16\right)-\left(x-2\right)^2=\left(x-8\right)^2$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2(x-4)^2-(x-2)^2=(x-8)^2. 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. Multiply the single term 2 by each term of the polynomial \left(x^2-8x+16\right). Expand \left(x-2\right)^2. Simplify the product -(x^2-4x+4).