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Factor 4x^2-25

Problem

4*x2−25

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, 4*x2 which is 2*x

  3. Determine the square root of the second term, 25 which is 5

  4. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) using a=2*x and b=5

Final Answer

4*x2−25=(2*x−5)*(2*x+5)


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