Question

Factorizar por sumas y diferencias de cubos perfectos (x - y) ³ + (2x-y) ³

Answer 1

$(x - y + 2x + y) \times ((x + y {}^{2} - (x - y) \times (2x - y) + 2x - y) {}^{2} ) \\ \\ 3x - 2y \times (x {}^{2} - 2xy + y {}^{2} - (2x {}^{2} - 3xy + y {}^{2} ) + 4x {}^{2} - 4xy + y {}^{2} ) \\ \\ (3x - 2y) \times (x {}^{2} - 2xy - + y {}^{2} - 2x {}^{2} + 3xy - y {}^{2} + 4x {}^{2} - 4xy + y {}^{2} ) \\ \\ = (3x - 2y) \times (3x {}^{2} - 3xy + y {}^{2} )$