令a=x²+x则原式=(a-1)²-4(x²+x)+7=a²-2a+1-4a+7=a²-6a+8=(a-2)(a-4)=(x²+x-2)(x²+x-4)=(x+2)(x-1)(x²+x-4)
令a=x²+x则原式=(a-1)²-4(x²+x)+7=a²-2a+1-4a+7=a²-6a+8=(a-2)(a-4)=(x²+x-2)(x²+x-4)=(x+2)(x-1)(x²+x-4) (望采纳)