Factor w^3-125

Problem

w3−125

Solution

1. Identify the expression as a difference of cubes, which follows the form a3−b3

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: a3−b3=(a−b)*(a2+a*b+b2)

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

Final Answer

w3−125=(w−5)*(w2+5*w+25)

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