Simplify (3x-2)^2

Problem

(3*x−2)^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=3*x and b=2 into the formula.

4. Expand the terms by calculating (3*x)^2 2*(3*x)*(2) and 2^2

5. Simplify each term to arrive at the final polynomial.

Final Answer

(3*x−2)^2=9*x^2−12*x+4

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