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Simplify (x-9)^2

Problem

(x−9)2

Solution

  1. Identify the expression as a square of a binomial in the form (a−b)2

  2. Apply the formula for the square of a binomial, which is (a−b)2=a2−2*a*b+b2

  3. Substitute a=x and b=9 into the formula.

  4. Expand the terms to get x2−2*(x)*(9)+9

  5. Simplify the coefficients and the constant term to reach the final expression.

Final Answer

(x−9)2=x2−18*x+81


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