Question

Көбейткіштерге жіктеу 5.143

Answer 1

$1); ; x^8+x^4+1=(x^8+2x^4+1)-x^4=(x^4+1)^2-(x^2)^2=\\=(x^4+1-x^2)(x^4+1+x^2)=Big (x^4-x^2+1Big )Big (((x^2)^2+2x^2+1)-x^2Big )=\\=Big (x^4-x^2+1Big )Big ((x^2+1)^2-x^2Big )=(x^4-x^2+1)(x^2+1-x)(x^2+1+x)=\\=(x^4-x^2+1)(x^2-x+1)(x^2+x+1)\\2); ; x^4+x^2y^2+y^4=(x^4+2x^2y^2+y^4)-x^2y^2=(x^2+y^2)^2-(xy)^2=\\=(x^2+y^2-xy)(x^2+y^2+xy)\\3); ; a^3-3a+2=(a-1)(a^2+a-2)=(a-1)(a+2)(a-1)=\\=(a-1)^2(a+2)\\4); ; x^3+3x^2-4=(x-1)(x^2+4x+4)=(x-1)(x+2)^2$