Simplify (2x-3)^2

Problem

(2*x−3)2

Solution

1. Identify the expression as a binomial squared 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=2*x and b=3 into the formula.

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

5. Simplify each term to reach the final polynomial.

Final Answer

(2*x−3)2=4*x2−12*x+9

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