Factor 81x^2-64

Problem

81*x2−64

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, 81*x2 which is 9*x

3. Determine the square root of the second term, 64 which is 8

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

Final Answer

81*x2−64=(9*x−8)*(9*x+8)

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