Question

A square - AB + B square is a factor of:

i) A cube - B cube. ii) A cube + B cube. iii) (a+b) whole cube. iv) (a-b) whole cube.

Explain How!

Answer 1

A^2-AB+B^2 is a factor of A^3+B^3. The other factor is just A+B because it’s factoring a sum of cubes.