因式分解(x²+x)²-(x+1)²

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因式分解(x²+x)²-(x+1)²

因式分解(x²+x)²-(x+1)²
因式分解(x²+x)²-(x+1)²

因式分解(x²+x)²-(x+1)²
(x²+x)²-(x+1)²
=(x²+x+x+1)(x²+x-x-1)
=(x²+2x+1)(x²-1)
=(x+1)²(x+1)(x-1)
=(x+1)³(x-1)

(x²+x)²-(x+1)²
=x²(x+1)²-(x+1)²
=(x+1)²(x²-1)
=(x-1)(x+1)^3