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Factor 81x^2-25

Problem

81*x2−25

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, 25 which is 5

  4. Substitute the values a=9*x and b=5 into the difference of squares formula.

Final Answer

81*x2−25=(9*x−5)*(9*x+5)


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