初中数学分解因式1-x-x²+x³
答案:4 悬赏:80 手机版
解决时间 2021-11-08 11:57
- 提问者网友:不要迷恋哥
- 2021-11-07 11:41
初中数学分解因式1-x-x²+x³
最佳答案
- 五星知识达人网友:千夜
- 2021-11-07 12:08
1-x-x²+x³
=(1-x)-(x²-x³)
=(1-x)-x²(1-x)
=(1-x)(1-x²)
=(1-x)²(1+x)追问为什么最后(1-x)变成了(1+x)???(#`O′)
=(1-x)-(x²-x³)
=(1-x)-x²(1-x)
=(1-x)(1-x²)
=(1-x)²(1+x)追问为什么最后(1-x)变成了(1+x)???(#`O′)
全部回答
- 1楼网友:醉吻情书
- 2021-11-07 15:13
1-x-x²+x³
=x^3-x^2-x+1
=x^2(x-1)-x+1
=x^2(x-1)-(x-1)
=(x-1)(x^2-1)
=(x-1)(X+1)(x-1)
=(x-1)^2(x+1)
=x^3-x^2-x+1
=x^2(x-1)-x+1
=x^2(x-1)-(x-1)
=(x-1)(x^2-1)
=(x-1)(X+1)(x-1)
=(x-1)^2(x+1)
- 2楼网友:孤老序
- 2021-11-07 14:49
原式=x³-x²-x+1
=(x-1)(x²-1)
=(x-1)²(x+1)
=(x-1)(x²-1)
=(x-1)²(x+1)
- 3楼网友:想偏头吻你
- 2021-11-07 13:43
=x^3+1-(x^2+x)
=(x+1)(x^2-X+1)-X(X+1)
=(X+1)(X^2-X+1-X)
=(X+1)(X-1)^2
=(x+1)(x^2-X+1)-X(X+1)
=(X+1)(X^2-X+1-X)
=(X+1)(X-1)^2
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