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已知(x-1)^5=ax^5+bx^4+cx^3+dx^2+ex+f 求a+b+c+d+e+f的值(2)a+c+e的值
人气:405 ℃ 时间:2020-02-03 17:06:45
解答
1)(x-1)^5=ax^5+bx^4+cx^3+dx^2+ex+f
令x=1
得
(1-1)^5=a+b+c+d+e+f=0
2)
x=1时,a+b+c+d+e+f=0 ①
x=-1时,-a+b-c+d-e+f=4 ②
①-②
2a+2c+2e=-4
所以
a+c+e=-2
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