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 form (a−b)*(a+b)

2. Apply the formula for the difference of squares, which states that (a−b)*(a+b)=a^2−b^2

3. Substitute a=2*x and b=3 into the formula.

4. Square the individual terms to find the result.

5. Simplify the expression by calculating (2*x)^2=4*x^2 and 3^2=9

Final Answer

(2*x−3)*(2*x+3)=4*x^2−9

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