(x+y)²-(x³+y³)÷(x+y)

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(x+y)²-(x³+y³)÷(x+y)(x+y)²-(x³+y³)÷(x+y)(x+y)²-(x³+y³)÷

(x+y)²-(x³+y³)÷(x+y)
(x+y)²-(x³+y³)÷(x+y)

(x+y)²-(x³+y³)÷(x+y)
有一个立方和分解因式公式是
x³+y³=(x+y)(x²-xy+y²),所以
(x+y)²-(x³+y³)÷(x+y)
=(x+y)²-(x+y)(x²-xy+y²)÷(x+y)
=x²+2xy+y²-(x²-xy+y²)
=x²+2xy+y²-x²+xy-y²
=3xy