Simplify (x-6)^2

Problem

(x−6)^2

Solution

1. Identify the expression as a binomial squared, which follows the pattern (a−b)^2=a^2−2*a*b+b^2

2. Apply the formula by setting a=x and b=6

3. Expand the terms to get x^2−2*(x)*(6)+6^2

4. Simplify the constants and coefficients to reach the final polynomial form.

Final Answer

(x−6)^2=x^2−12*x+36

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