Simplify (3x+2)(3x-2)

Problem

(3*x+2)*(3*x−2)

Solution

1. Identify the pattern as a product of a sum and a difference, which follows the difference of squares formula (a+b)*(a−b)=a2−b2

2. Assign the values a=3*x and b=2 to match the formula.

3. Square the first term: (3*x)2=9*x2

4. Square the second term: 2=4

5. Subtract the squared terms to find the final simplified expression.

Final Answer

(3*x+2)*(3*x−2)=9*x2−4

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