Question

Cum pot sa descompun in factori x (la puterea 16) minus 1?

Answer 1

se merge pe formula a²-b²=(a-b)(a+b)


x¹⁶-1=
(x⁸)²-1²=
(x⁸-1)(x⁸+1)

Answer 2

[tex] x^{16} -1= ( x^{8} +1)( x^{8} -1)=( x^{8} +1)( x^{4} +1)( x^{4}-1)= \\ =( x^{8} +1)( x^{4} +1)( x^{2} +1)( x^{2} -1)=( x^{8} +1)( x^{4} +1)( x^{2} +1)(x+1) \\ X(x -1)[/tex]