Question

How could the sum of cubes formula be use to factor x^3y^3+34

Answer 1

Sum of cubes: a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Sum of cubes: x^3*y^3 + 34, or (xy)^3 + (∛34)^3

This factors into (xy + ∛34)*( [xy]^2 - xy∛34 + (∛34)^2 )