Factor y^3-64

Problem

y^3−64

Solution

1. Identify the expression as a difference of two cubes, since y^3 is a cube and 64=4^3

2. Apply the formula for the difference of cubes, which is a^3−b^3=(a−b)*(a^2+a*b+b^2)

3. Substitute a=y and b=4 into the formula.

4. Simplify the terms within the second factor by calculating 4^2

Final Answer

y^3−64=(y−4)*(y^2+4*y+16)

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