Factor 49x^2-100

Problem

49*x2−100

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 100 which is 10

4. Substitute the values a=7*x and b=10 into the difference of squares formula.

Final Answer

49*x2−100=(7*x−10)*(7*x+10)

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