因式分解(x²+2x)²+2x²+4x+1

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因式分解(x²+2x)²+2x²+4x+1因式分解(x²+2x)²+2x²+4x+1因式分解(x²+2x)²+2x&su

因式分解(x²+2x)²+2x²+4x+1
因式分解(x²+2x)²+2x²+4x+1

因式分解(x²+2x)²+2x²+4x+1
(x² + 2x)² + 2x² + 4x + 1
= (x² + 2x)² + 2(x² + 2x) + 1
= (x² + 2x + 1)²
= (x + 1)^4

(x²+2x)²+2x²+4x+1
=(x²+2x)²+2(x²+2x)+1
=[(x²+2x)+1]²
=[(x+1)²]²
=(x+1)^4