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Factor 25x^2-81

Problem

25*x2−81

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, 25*x2 which is 5*x

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

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

Final Answer

25*x2−81=(5*x−9)*(5*x+9)


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