Factor 64x^2-81

Problem

64*x2−81

Solution

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

2. Determine the square root of the first term, 64*x2 which is 8*x

3. Determine the square root of the second term, 81 which is 9

4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) using a=8*x and b=9

Final Answer

64*x2−81=(8*x−9)*(8*x+9)

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