(x-y)(3x+y)^2+(x+3y)^2(y-x)
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解决时间 2021-11-25 10:44
- 提问者网友：寂寞梧桐
- 2021-11-24 20:49
(x-y)(3x+y)^2+(x+3y)^2(y-x)
最佳答案
- 五星知识达人网友：思契十里
- 2021-11-24 21:11
(x-y)(3x+y)^2+(x+3y)^2(y-x)
=(x-y)(3x+y)^2-(x-y)(3x+y)^2
=(x-y)[(3x+y)^2-(x+3y)^2]
=(x-y)[(3x+y)-(x+3y)][(3x+y)+(x+3y)]
=8(x-y)(x+y)(x+2y)
=(x-y)(3x+y)^2-(x-y)(3x+y)^2
=(x-y)[(3x+y)^2-(x+3y)^2]
=(x-y)[(3x+y)-(x+3y)][(3x+y)+(x+3y)]
=8(x-y)(x+y)(x+2y)
全部回答
- 1楼网友：归鹤鸣
- 2021-11-24 23:12
(x-y)(3x+y)^2+(x+3y)^2(y-x)
= (x - y))(3x + y)^2 - (x + 3y)^2(x - y)
= (x - y)[(3x + y)^2 - (x + 3y)^2]
=(x - y)[ (4x + 4y)(2x - 2y)
= 8(x + y）*（x - y)^2
= (x - y))(3x + y)^2 - (x + 3y)^2(x - y)
= (x - y)[(3x + y)^2 - (x + 3y)^2]
=(x - y)[ (4x + 4y)(2x - 2y)
= 8(x + y）*（x - y)^2
- 2楼网友：狂恋
- 2021-11-24 22:36
(x-y)(3x+y)^2+(x+3y)^2(y-x)
=(x-y)[(3x+y)^2-(x+3y)^2]
=(x-y)(4x+4y)(2x-2y)
=8(x+y)(x-y)^2
=(x-y)[(3x+y)^2-(x+3y)^2]
=(x-y)(4x+4y)(2x-2y)
=8(x+y)(x-y)^2
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