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Caso suma de cubos.
Aplicas.
a³ + b³ = (a + b)(a² - ab +b²)
8x³ + 27y³
---------------- = Factorizas el numerador
(3y + 2x)
2³x³ + 3³y³ (2x + 3y)((2x)² - (2x)(3y) + (3y)²
-------------- = ----------------------------------------------- =
(2x + 3y) (2x + 3y)
(2x + 3y) (2x + 3y)(4x² - 6xy + 9y²)
------------- = ------------------------------------- = Simplificas (2x + 3y)
(2x + 3y) (2x + 3y)
4x² - 6xy + 9y²
Respuesta.
4x² - 6xy + 9y²