Simplify (x-4)^2

Problem

(x−4)^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=a^2−2*a*b+b^2

3. Substitute a=x and b=4 into the formula.

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

5. Simplify the constants and coefficients to reach the final polynomial.

Final Answer

(x−4)^2=x^2−8*x+16

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