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Aplicas.
Productos notables.
(a + b)² = a² + 2ab + b²
(2x + 2)² =
(2x)² + 2(2x)(2) + 2² =
2²x² + 8x + 4 =
4x² + 8x + 4
Aplicas
(a + b)³ = a³ + 3a²b + 3ab² + b³
(2a + b)³ =
(2a)³ + 3(2a)²(b) + 3(2a)(b²) + b³ =
2³b³ + 3(2²a²)b + 6ab² + b³ =
8b³ + 3(4a²)b + 6ab² + b³ =
8a³ + 12a²b + 6ab² + b³
Respuesta.
8a³ + 12a²b + 6ab² + b³
(2x)²+2(2x)(2) +(2)²
4x² + 8x + 4
El segundo queda así:
(2a)^3 + 3(2a)^2(b) + 3(2a)(b)^2 + (b)^3
8a^3 + 12a^2b + 6ab^2 + b^3