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1.16(x-2y)^2-(x-2y)2.(x+y)(x-y)^3-(x+y)^3(x-y)
题目详情
1.16(x-2y)^2-(x-2y)
2.(x+y)(x-y)^3-(x+y)^3(x-y)
2.(x+y)(x-y)^3-(x+y)^3(x-y)
▼优质解答
答案和解析
16(x-2y)^2-(x-2y)
=(x-2y)[16(x-2y)-1]
=(x-2y)(16x-32y-1)
(x+y)(x-y)^3-(x+y)^3(x-y)
=(x+y)(x-y)[(x-y)²-(x+y)²]
=(x+y)(x-y)(-4xy)
=-4xy(x+y)(x-y)
=(x-2y)[16(x-2y)-1]
=(x-2y)(16x-32y-1)
(x+y)(x-y)^3-(x+y)^3(x-y)
=(x+y)(x-y)[(x-y)²-(x+y)²]
=(x+y)(x-y)(-4xy)
=-4xy(x+y)(x-y)
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