分解因式:y(y+1)(x²+1)+x(2y²+2y+1)

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分解因式:y(y+1)(x²+1)+x(2y²+2y+1)
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分解因式:y(y+1)(x²+1)+x(2y²+2y+1)
分解因式:y(y+1)(x²+1)+x(2y²+2y+1)

分解因式:y(y+1)(x²+1)+x(2y²+2y+1)
y(y+1)(x²+1)+x(2y²+2y+1)
=y(y+1)x²+(2y²+2y+1)x+y(y+1)
=(yx+y+1)[(y+1)x+y]
=(xy+y+1)(xy+x+y)