Factor 49x^2-25

Problem

49*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, 49*x2 which is 7*x

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

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

Final Answer

49*x2−25=(7*x−5)*(7*x+5)

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