Factor 9x^2-1

Problem

9*x2−1

Solution

1. Identify the expression as a difference of two squares, which follows the general 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 the square root of the first term:

√(,9*x2)=3*x

4. Calculate the square root of the second term:

√(,1)=1

5. Substitute a=3*x and b=1 into the difference of squares formula:

(3*x−1)*(3*x+1)

Final Answer

9*x2−1=(3*x−1)*(3*x+1)

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