分解因式:x三次方+2x²y+2xy²+y三次方=?
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分解因式:x三次方+2x²y+2xy²+y三次方=?
分解因式:x三次方+2x²y+2xy²+y三次方=?
分解因式:x三次方+2x²y+2xy²+y三次方=?
原式=x³+y³+2x²y+2xy²
=(x+y)(x²-xy+y²)+2xy(x+y)
=(x+y)(x²-xy+y²+2xy)
=(x+y)(x²+xy+y²)
=(x³+y³)+2xy(x+y)
=(x+y)(x²-xy+y²)+2xy(x+y)
=(x+y)(x²-xy+y²+2xy)
=(x+y)(x²+xy+y²)
=x³+y³ +2x²y+2xy²
=(x³+y³) +(2x²y+2xy²)
=(x+y)(x²-xy+y²) +2xy(x+y)
=(x+y)(x²-xy+y²+2xy)
=(x+y)(x²+xy+y²)