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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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$\left(2x\right)^2-12x+9=\left(x-7\right)^2-81$
Learn how to solve differential calculus problems step by step online. Solve the quadratic equation (2x-3)^2=(x-7)^2-81. 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. The power of a product is equal to the product of it's factors raised to the same power. Move everything to the left hand side of the equation. Add the values 9 and 81.