Simplify (2x+1)(2x-1)

Problem

(2*x+1)*(2*x−1)

Solution

1. Identify the expression as a product of a sum and a difference, which follows the pattern (a+b)*(a−b)

2. Apply the formula for the difference of squares, which states that (a+b)*(a−b)=a2−b2

3. Substitute a=2*x and b=1 into the formula.

4. Simplify the terms by squaring them individually.

5. Calculate (2*x)2=4*x2 and 1=1

Final Answer

(2*x+1)*(2*x−1)=4*x2−1

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