Ajutor dau coroana
Descompuneti in factori primi
(x^2 +2x -8)(x^2 -4x +4)


Ajutor Dau Coroana Descompuneti In Factori Primix2 2x 8x2 4x 4 class=

Răspuns :

(x²+2x-8)(x²-4x-4)=(x²+4x-2x-8)(x²-2x-2x-4)=[x(x+4)-2(x+4)][x(x-2)-2(x-2)]=(x+4)(x-2)(x-2)(x-2)=(x-2)³(x+4)
(x²+2x-8)(x²-4x+4)=
x²+2x-8=(x+4)(x-2)
x²-4x+4=(x-2)²
=>expresia se descompune astfel : (x+4)(x-2)³