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

Problem

(2*x+3)*(2*x−3)

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=2*x and b=3 to fit the formula.

3. Square the first term: (2*x)2=4*x2

4. Square the second term: 3=9

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

Final Answer

(2*x+3)*(2*x−3)=4*x2−9

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