4x^2-4xy+y^2

👨🏻‍🏫 學術台數學

用戶130397

2007-07-03 8:32 am

4x^2-4xy+y^2

因式分解please!!

更新1:

+多1條...因式分解please!! 4x^2-4xy+y^2-2x+y =(2x-y)^2-2x+y

回答 (3)

Kevin YH Lau

2007-07-04 2:08 am

✔ 最佳答案

1. 4x^2 - 4xy + y^2
= (2x)^2 - 2 (2x) (y) + y^2
= (2x - y)^2

2. 4x^2 - 4xy + y^2 - 2x+y
= (2x - y)^2 - (2x - y)
= (2x - y) (2x - y - 1)

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cipker

2007-07-03 7:17 pm

4x^2-4xy+y^2
=(2x)^2-2(2x)(y)+y^2
=(2x-y)^2

2007-07-03 11:19:30 補充：
4x^2-4xy+y^2-2x+y=(2x-y)^2-(2x-y)=(2x-y)(2x-y-1)

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星星

2007-07-03 12:58 pm

4x^2-4xy+y^2
=(2x-y)(2x-y)
=(2x-y)^2

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