Factor y^2-81

Problem

y2−81

Solution

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

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

3. Calculate a=√(,y2)=y

4. Calculate b=√(,81)=9

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

y2−81=(y−9)*(y+9)

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