(x+y)³-xy(x+y)=(x+y)*A,则A=?

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(x+y)³-xy(x+y)=(x+y)*A,则A=?

(x+y)³-xy(x+y)=(x+y)*A,则A=?
(x+y)³-xy(x+y)=(x+y)*A,则A=?

(x+y)³-xy(x+y)=(x+y)*A,则A=?
(x+y)³-xy(x+y)
=(x+y)[(x+y)²-xy]
=(x+y)(x²+2xy+y²-xy)
=(x+y)(x²+xy+y²)
所以A=x²+xy+y²

x的平方加上y的平方加上xy的积