作业帮化简X-X^2-X^3-X^4-...X^9+X^10
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/04 03:06:11
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化简X-X^2-X^3-X^4-...X^9+X^10
化简X-X^2-X^3-X^4-...X^9+X^10
化简X-X^2-X^3-X^4-...X^9+X^10
令s=X^2+X^3+……+X^9
Xs=X^3+X^4+……+X^9+X^10
Xs-s=X^10-X^2
S=(X^10-X^2)/(X-1)
所以原式=X-s+X^10=X+X^10-(X^10-X^2)/(X-1)
=[(X^10+X)(X-1)-(X^10-X^2)]/(X-1)
=(X^11-X^10+X^2-X-X^10+X^2)/(X-1)
=(X^11-2X^10+2X^2-X)/(X-1)
回答不了你
这里面很多符号没有
表达不出来
很抱歉
怎么最后一个是加号？^符号是除号吗？
当x=1时,
原式=-8.
当x≠1时,
原式=x-(x^2+x^3+x^4+...x^9)+x^10
=x-x^2(1-x^8)/(1-x)+x^10
=(x-2x^2+2x^10-x^11)/(1-x).
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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