Factor x^2-49

Problem

x2−49

Solution

1. Identify the expression as a difference of two squares, which follows the general form a2−b2

2. Determine the values of a and b by taking the square root of each term.

3. Calculate a=√(,x2)=x

4. Calculate b=√(,49)=7

5. Apply the formula for the difference of squares, a2−b2=(a−b)*(a+b) to rewrite the expression.

Final Answer

x2−49=(x−7)*(x+7)

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