Factor 4x^2-1

Problem

4*x2−1

Solution

1. Identify the expression as a difference of two squares, which follows the form a2−b2=(a−b)*(a+b)

2. Determine the values of a and b by taking the square root of each term.

3. Calculate a=√(,4*x2)=2*x

4. Calculate b=√(,1)=1

5. Substitute the values of a and b into the difference of squares formula.

Final Answer

4*x2−1=(2*x−1)*(2*x+1)

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