Factor r^2-49

Problem

r2−49

Solution

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

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

3. Find a=√(,r2)=r

4. Find b=√(,49)=7

5. Apply the formula for the difference of squares: a2−b2=(a−b)*(a+b)

6. Substitute the values of a and b into the formula.

Final Answer

r2−49=(r−7)*(r+7)

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