Factor 16x^2-1

Problem

16*x2−1

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a2−b2

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

3. Calculate a=√(,16*x2)=4*x

4. Calculate b=√(,1)=1

5. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

6. Substitute the values of a and b into the formula.

Final Answer

16*x2−1=(4*x−1)*(4*x+1)

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