Factor w^2-81

Problem

w2−81

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. Calculate a=√(,w2)=w and b=√(,81)=9

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

5. Substitute the values of a and b into the formula to get (w−9)*(w+9)

Final Answer

w2−81=(w−9)*(w+9)

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