(2x+1)^2-(2x+1)(2x-1)+(x+1)(x-2)
答案:4 悬赏:50
解决时间 2021-04-10 03:17
- 提问者网友：浪子生来ˇ性放荡²↘
- 2021-04-09 10:13
(2x+1)^2-(2x+1)(2x-1)+(x+1)(x-2)
最佳答案
- 二级知识专家网友：迷人小乖乖
- 2021-04-09 10:22
(2x+1)^2-(2x+1)(2x-1)+(x+1)(x-2)
=(4x^2+4x+1)-(4x^2-1)+(x^2-x-2)
=4x^2+4x+1-4x^2+1+x^2-x-2
=x^2+3x
=(4x^2+4x+1)-(4x^2-1)+(x^2-x-2)
=4x^2+4x+1-4x^2+1+x^2-x-2
=x^2+3x
全部回答
- 1楼网友：一池湖水
- 2021-04-09 13:36
(2x+1)^2-(2x+1)(2x-1)+(x+1)(x-2)＝4x^2+4x+1-(4x^2-1)+x^2-x-2
＝4x^2+4x+1-4x^2+1+x^2-x-2
＝x^2+3x
- 2楼网友：爱情是怎么炼成的
- 2021-04-09 12:15
(2x+1)^2-(2x+1)(2x-1)+(x+1)(x-2)
=(2x+1)[(2x+1)-(2x-1)]+(x+1)(x-2)
=(2x+1)[2x+1-2x+1]+(x+1)(x-2)
=2(2x+1)+(x+1)(x-2)
=4x+2+x^2-x-2
=x^2+3x
=x(x+3)
- 3楼网友：野性且迷人
- 2021-04-09 12:02
1.
(x+1)^2=x^2+2x+1
2.
(x-1)^2=x^2-2x+1
3.
(2x+1)^2=4x^2+4x+1
4.
(2x-1)^2=4x^2-4x+1
5.
(2x+3)(2x-3)=4x^2-9
6.
(x+y)(x-y)=x^2-y^2
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