求这三道题的详细做法!!!主要是前两题,第三题不会就算了。急急急!!!我一会要交作业了ԅ
6个回答
展开全部
1 化简,设3√a = x, 3√b = y
则原式 =[ (x^3 + x^2 y)/(y^3 + x y^2) - 1] / (x-y) - 1/y
= [ (x^3 + x^2 y - y^3 - x y^2)/(y^3 + x y^2) ] / (x-y) - 1/y
= {[ (x-y)(x^2+xy+y^2) + x y (x- y)]/(y^3 + x y^2) }/ (x-y) - 1/y
= [ (x-y)(x^2+xy+y^2 + xy) /y^2(y + x ) ]/ (x-y) - 1/y
= (x+y)/y^2 - y/y^2
= x/y^2 = 3√2/3√4^2 = 1/2
2 另x^1/2 = a, a+1/a =3
原式 =[ a^3 +(1/a)^3 - (a+1/a)] / (a^2 -2 + a^-2)
= [( a+1/a)(a^2 -1 + 1/a ^2) - (a+1/a)]/(a^2 -2 + a^-2)
= [( a+1/a)(a^2 -1 + 1/a ^2 -1) ]/(a^2 -2 + a^-2)
= a+1/a = 3
则原式 =[ (x^3 + x^2 y)/(y^3 + x y^2) - 1] / (x-y) - 1/y
= [ (x^3 + x^2 y - y^3 - x y^2)/(y^3 + x y^2) ] / (x-y) - 1/y
= {[ (x-y)(x^2+xy+y^2) + x y (x- y)]/(y^3 + x y^2) }/ (x-y) - 1/y
= [ (x-y)(x^2+xy+y^2 + xy) /y^2(y + x ) ]/ (x-y) - 1/y
= (x+y)/y^2 - y/y^2
= x/y^2 = 3√2/3√4^2 = 1/2
2 另x^1/2 = a, a+1/a =3
原式 =[ a^3 +(1/a)^3 - (a+1/a)] / (a^2 -2 + a^-2)
= [( a+1/a)(a^2 -1 + 1/a ^2) - (a+1/a)]/(a^2 -2 + a^-2)
= [( a+1/a)(a^2 -1 + 1/a ^2 -1) ]/(a^2 -2 + a^-2)
= a+1/a = 3
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
2015-08-04 · 知道合伙人教育行家
关注
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