Factor y^2-64

Problem

y^2−64

Solution

1. Identify the expression as a difference of two squares, which follows the pattern a^2−b^2

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

3. Recognize that y^2 is (y)^2 and 64 is (8)^2

4. Apply the formula for the difference of squares, a^2−b^2=(a−b)*(a+b) where a=y and b=8

Final Answer

y^2−64=(y−8)*(y+8)

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