Factor 81x^2-1

Problem

81*x2−1

Solution

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

2. Determine the square root of the first term, 81*x2 which is 9*x

3. Determine the square root of the second term, 1 which is 1

4. Substitute the values a=9*x and b=1 into the difference of squares formula.

Final Answer

81*x2−1=(9*x−1)*(9*x+1)

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