Factor x^3+y^3

Problem

x^3+y^3

Solution

1. Identify the expression as a sum of two cubes, which follows the specific algebraic form a^3+b^3

2. Apply the formula for the sum of cubes, which states a^3+b^3=(a+b)*(a^2−a*b+b^2)

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

Final Answer

x^3+y^3=(x+y)*(x^2−x*y+y^2)

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