Factor w^3-125

Problem

w^3−125

Solution

1. Identify the expression as a difference of cubes, which follows the form a^3−b^3

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

3. Substitute a=w and b=5 into the difference of cubes formula: a^3−b^3=(a−b)*(a^2+a*b+b^2)

4. Simplify the terms inside the second set of parentheses.

Final Answer

w^3−125=(w−5)*(w^2+5*w+25)

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