1/4a的5次方b的2m+1次方与-1/3a的3n次方b的6次方的和依然是单项式,求m ,n(2)已知a-b=3/2,b-c=3/2,求代数式(a-c)²+3a+1-3c的值 (3)已知x-y=3xy,求2y-3xy-2x / y+2xy-x(4)若x=1/5 y=1/7,求代数式1/x+1/y除以1/x-1/y的值 (>_

问题描述:

1/4a的5次方b的2m+1次方与-1/3a的3n次方b的6次方的和依然是单项式,求m ,n
(2)已知a-b=3/2,b-c=3/2,求代数式(a-c)²+3a+1-3c的值
(3)已知x-y=3xy,求2y-3xy-2x / y+2xy-x
(4)若x=1/5 y=1/7,求代数式1/x+1/y除以1/x-1/y的值 (>_

1.由题意得:
2m+1=6
3n=5
即:m=5/2 n=5/3
2.由a-b=3/2,b-c=3/2得,a-b+b-c=3 即 a-c=3
那么 (a-c)²+3a+1-3c=(a-c)²+3(a-c)+1=9+9+1=19
3.2y-3xy-2x / y+2xy-x 表达不清,我认为是(2y-3xy-2x )/( y+2xy-x)
(2y-3xy-2x )/( y+2xy-x)=[-3xy-2(x-y)]/[2xy-(x-y)]
因为 x-y=3xy,上式可化为:(-3xy-6xy)/(2xy-3xy) = -9xy/(-xy)=9
4.1/x+1/y除以1/x-1/y=(y+x)/xy 除以 (y-x)/xy
= (y+x)/(y-x)
将 x=1/5 y=1/7 代入上式得:
(1/7 +1/5)/(1/7 +1/5)= -6