En resumen

(x + y)(x - y) = x² - y² (x² - y²)(x² + y²) = x⁴ - y⁴ (x⁴ - y⁴)(x⁴ + y⁴) = x⁸ - y⁸ (x + y)(x - y)(x² + y²)(x⁴ + y⁴) + y⁸ = x⁸ - y⁸ + y⁸ = x⁸.

Mejor respuesta

Gatita122002
5

(x + y)(x - y) = x² - y²

(x² - y²)(x² + y²) = x⁴ - y⁴

(x⁴ - y⁴)(x⁴ + y⁴) = x⁸ - y⁸

(x + y)(x - y)(x² + y²)(x⁴ + y⁴) + y⁸ = x⁸ - y⁸ + y⁸ = x⁸.