Question

Cuanto es... 729a^9+1944a^6b^10+1728a^3b^5+512b^15 Ejercicio de factorizacion de trinomios caso 8

Answer 1

Respuesta:

(9a³ + 8b⁵)³

Explicación:

729a⁹ + 1944a⁶b¹⁰ + 1728a³b⁵ + 512b¹⁵

∛729 = 9

∛512 = 8

∛a⁹ = a³

∛b¹⁵ = b⁵

(9a³ + 8b⁵)³

(9a³)³ + 3(9a³)²(8b⁵) + 3(9a³)(8b⁵)² + (8b⁵)³

729a⁹ + 3(81a⁶)(8b⁵) + 3(9a³)(64b¹⁰) +  512b¹⁵

729a⁹ + 1944a⁶b⁵ + 1728a³b¹⁰ + 512b¹⁵