Factor a^3-b^3

Problem

a3−b3

Solution

1. Identify the expression as a difference of two cubes, which follows the specific algebraic pattern x3−y3

2. Apply the formula for the difference of cubes, which states that x3−y3=(x−y)*(x2+x*y+y2)

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

Final Answer

a3−b3=(a−b)*(a2+a*b+b2)

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