求这道题步骤
1个回答
展开全部
(x+1)(2x^2-5)^5 =a0+a1.x+a2.x^2+....+a11.x^11
(1)
a6
=coef. of x^6 of (2x^2-5)^5
=(5C3)(2)^3.(-5)^2
=2000
(2)
(x+1)(2x^2-5)^5 =a0+a1.x+a2.x^2+....+a11.x^11
x=2
a0+2a1+2^2.a2+....+2^11.a11 = 729 (1)
x=-2
a0-2a1+2^2.a2+....-2^11.a11 = -243 (2)
(1)+(2)
2(a0+2^2.a2+2^4.a4+....+2^10.a10) = 486
a0+2^2.a2+2^4.a4+....+2^10.a10 = 243
(1)
a6
=coef. of x^6 of (2x^2-5)^5
=(5C3)(2)^3.(-5)^2
=2000
(2)
(x+1)(2x^2-5)^5 =a0+a1.x+a2.x^2+....+a11.x^11
x=2
a0+2a1+2^2.a2+....+2^11.a11 = 729 (1)
x=-2
a0-2a1+2^2.a2+....-2^11.a11 = -243 (2)
(1)+(2)
2(a0+2^2.a2+2^4.a4+....+2^10.a10) = 486
a0+2^2.a2+2^4.a4+....+2^10.a10 = 243
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
