Simplify (x-3)^2

Problem

(x−3)2

Solution

1. Identify the expression as a binomial squared, which follows the pattern (a−b)2=a2−2*a*b+b2

2. Assign the values a=x and b=3 to the terms in the pattern.

3. Expand the expression by squaring the first term, subtracting twice the product of the terms, and adding the square of the last term.

x2−2*(x)*(3)+3

4. Simplify the terms by performing the multiplication and squaring the constant.

x2−6*x+9

Final Answer

(x−3)2=x2−6*x+9

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