(x+y)(x+y)(x+y)-(x-y)(x+-y)(x-y)
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解决时间 2021-02-14 01:01
- 提问者网友：寂寞梧桐
- 2021-02-13 10:41
(x+y)(x+y)(x+y)-(x-y)(x+-y)(x-y)
最佳答案
- 五星知识达人网友：酒者煙囻
- 2021-02-13 11:38
(x+y)(x+y)(x+y)-(x-y)(x+-y)(x-y)
＝(x+y)(x^2+2xy+y^2)-(x-y)(x^2-2xy+y^2)
=x^3+3x^2*y+3x*y^2+y^3-(x³-x²y+3xy²-y³)
=x^3+3x^2*y+3x*y^2+y^3-x³+x²y-3xy²+y³
=4x²y+2y³
＝(x+y)(x^2+2xy+y^2)-(x-y)(x^2-2xy+y^2)
=x^3+3x^2*y+3x*y^2+y^3-(x³-x²y+3xy²-y³)
=x^3+3x^2*y+3x*y^2+y^3-x³+x²y-3xy²+y³
=4x²y+2y³
全部回答
- 1楼网友：不如潦草
- 2021-02-13 12:10
=(x+y)[(x+y)^2-(x-y)^2]
=(x+y)·2x·2y
=4yx^2+4xy^2
=(x+y)·2x·2y
=4yx^2+4xy^2
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