Factor a^3-b^3

Problem

a^3−b^3

Solution

1. Identify the expression as a difference of two cubes, which follows the specific algebraic pattern x^3−y^3

2. Apply the formula for the difference of cubes, which states that x^3−y^3=(x−y)*(x^2+x*y+y^2)

3. Substitute a for x and b for y into the formula to obtain the factored form.

Final Answer

a^3−b^3=(a−b)*(a^2+a*b+b^2)

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