Question

AYUDA!!!!
DOY CORONA!!!! ​

Answer 1

Respuesta:

A = 1

Explicación paso a paso:

A = ((1 + i)² + (1 + i)⁴ + (1 - i)²) / (1 - i)⁴

A = (1 + 2i + i² + (1 + i)⁴ + 1 - 2i + i²)/ (1 - i)⁴

A = (2 + 2i² + (1 + i)⁴) / (1 - i⁴)                       por definicion i² = -1

A = (2 + 2(-1) + (1 + i⁴)) / (1 - i)⁴

A = (2 -2 + (1 + i⁴)) / (1 - i)⁴

A = (1 + i)⁴ / (1 - i)⁴

A = (1 + 4i + 6i² + 4i³ + i⁴) / (1 - 4i + 6i² - 4i³ + i⁴ )

A = (1 + 4i + 6i² + 4ii² + (i²)²) / (1 - 4i + 6i² - 4ii² + (i²)² )

A = (1 + 4i + 6(-1) + 4i(-1) + (-1)²) / (1 - 4i + 6(-1) - 4i(-1) + (-1)² )

A = (1 + 4i - 6  - 4i + 1) / (1 - 4i - 6 + 4i + 1 )

A = -4 / -4

A = 1