Factor 81-x^2

Problem

81−x2

Solution

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

2. Determine the square roots of each term to find a and b

3. Calculate a=√(,81)=9

4. Calculate b=√(,x2)=x

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

81−x2=(9−x)*(9+x)

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