Factor 25x^2-49

Problem

25*x2−49

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 49 which is 7

4. Substitute the values a=5*x and b=7 into the difference of squares formula.

Final Answer

25*x2−49=(5*x−7)*(5*x+7)

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