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a la puterea a patra - 1

Răspuns :

a⁴-1=

(a²)²-1²=

(a²+1)(a²-1)=

(a²+1)(a²-1²)=

(a²+1)(a+1)(a-1)

a⁴ - 1 =

= (a²)² - 1²

= (a² + 1)·(a² - 1)

= (a² + 1)·(a² - 1²)

= (a² + 1)·(a + 1)·(a - 1)