Binomisch Forme in eine summe um: (a-b)(a+b) (a-b) (a+b)

Question

Forme in eine summe um:

(a-b)(a+b) (a-b) (a+b)

Answer 1

Hallo,

(a-b)(a+b) (a-b) (a+b)     zweimal die dritte Binomisch Form anwenden

(a² -b²) (a²-b²)                nun die Zweite

a⁴ - 2a²b² +b⁴

Answer 2

(a - b)·(a + b)·(a - b)·(a + b)

= (a^2 - b^2)·(a - b)·(a + b)

= (a^2 - b^2)·(a^2 - b^2)

= (a^2 - b^2)^2

= a^4 - 2·a^2·b^2 + b^4

Answer 3

(a-b)(a+b) (a-b) (a+b)= (a-b)^2*(a+b)^2 = [(a+b)(a-2))]^2 = (a^2-b^2)^2

= a^4-2a^2 b^2+b^4