学帮网(x+y)²-(x³+y³)÷(x+y)等于?
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/23 00:16:28
(x+y)²-(x³+y³)÷(x+y)等于?
解:
(x+y)^2-(x^3+y^3)/(x+y)
=(x+y)^2-[(x+y)(x^2-xy+y^2)]/(x+y)
=(x+y)^2-[x^2-xy+y^2]
=x^2+y^2+2xy-x^2+xy-y^2
=3xy
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来源：学生作业学帮网 编辑：学帮网 时间：2024/05/23 00:16:28
(x+y)²-(x³+y³)÷(x+y)等于?
解:
(x+y)^2-(x^3+y^3)/(x+y)
=(x+y)^2-[(x+y)(x^2-xy+y^2)]/(x+y)
=(x+y)^2-[x^2-xy+y^2]
=x^2+y^2+2xy-x^2+xy-y^2
=3xy