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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 classify algebraic expressions problems step by step online. Find the break even points of the expression 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).