Factor w^3-27

Problem

w3−27

Solution

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

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

3. Substitute a=w and b=3 into the difference of cubes formula: a3−b3=(a−b)*(a2+a*b+b2)

4. Simplify the resulting terms within the parentheses to find the final factored form.

Final Answer

w3−27=(w−3)*(w2+3*w+9)

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