Question

分解因式(x²+2+1)(X²+X+2)-12

Answer 1

(x^2+x+1)(x^2+x+2)-12

=(x^2+x)^2+3(x^2+x)+2-12

=(x^2+x)^2+3(x^2+x)-10

=(x^2+x+5)(x^2+x-2)

=(x^2+x+5)(x+2)(x-1)