Question

Descompuneti in produs de factori: (x la a2-a + x)(x la a2-a + x -8)+12

Answer 1

fie a= x²+x
a(a-8)+12= a²-8a+12= a²-8a+16-4= (a-2)(a+2) -8(a-2)= (a-2)(a+2-8)= 
= (a-2)(a-6)= (x²+x-2) (x²+x-6)= (x²-1 +x-1) (x²-4+x-2)=
= (x-1)(x+1+1)(x-2)(x+2+1)= (x-1) (x+2) (x-2) (x+3)