(x^2+x-1)^2-4x^2-4x+7

2026年09月09日 08:28
有2个网友回答
网友(1):

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)

网友(2):

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)