Question

Efectoati (3-x)(x+3)-(4-x)la a 2
Descompunerea in factori a expresiei x la a 16 - 1 contine un numar de ...... factori

Answer 1

Răspuns:

Explicație pas cu pas:

(3 - x)(x + 3) - (4 - x)^2 =

(3 - x)(3 + x) - (16 - 8x + x^2) =

9 - x^2 - 16 + 8x - x^2 =

-2x^2 + 8x - 7

_____________

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 - 1) = 5 factori