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Factor 4m^2-25

Problem

4*m2−25

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, 4*m2 which is 2*m

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

  4. Substitute the values a=2*m and b=5 into the difference of squares formula.

Final Answer

4*m2−25=(2*m−5)*(2*m+5)


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