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=?](/uploads/image/z/1860039-63-9.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9Ax%E4%B8%89%E6%AC%A1%E6%96%B9%2B2x%26%23178%3By%2B2xy%26%23178%3B%2By%E4%B8%89%E6%AC%A1%E6%96%B9%3D%3F)
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)