Question

Al desarrollar (a + 1)4, se obtiene:
a. A - 40° +60 - 40 + 1
O b. A + 40° +60 + 40 + 1
O c. A-1
O d. f+1 A​

Answer 1

Respuesta:

(a + 1)⁴ =  a⁴ + 4a³ + 6a² + 4a + 1

Explicación paso a paso:

Al desarrollar (a + 1)⁴, se obtiene:

Resolvamos:

(a + 1)⁴ = (⁴₀) (a)⁴⁻⁰ (1)⁰+(⁴₁) (a)⁴⁻¹ (1)¹+(⁴₂) (a)⁴⁻² (1)²+(⁴₃) (a)⁴⁻³ (1)³+(⁴₄) (a)⁴⁻⁴ (1)⁴

(a + 1)⁴ = (1)(a)⁴ (1)⁰+(4)(a)³ (1)¹+(6)(a)² (1)²+(4)(a)¹ (1)³+(1)(a)⁰ (1)⁴

(a + 1)⁴ =  a⁴ + 4a³ + 6a² + 4a + 1