Factor w^3-27

Problem

w^3−27

Solution

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

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: a^3−b^3=(a−b)*(a^2+a*b+b^2)

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

Final Answer

w^3−27=(w−3)*(w^2+3*w+9)

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