一些分式数学题
问题描述:
一些分式数学题
(1)(xy/z)3*(-xz/y)3/(-yz/x)4
(2)x2+2x+1/x2÷25-x2/x2+5x
(3)-4x2+12xy-9y2/4x2-9y2,其中x=3y
(4)已知x/2=y/3=z/4,求xy+yz+zx/x2+y2+z2的值
答
(1)(xy/z)3*(-xz/y)3/(-yz/x)4 =x^3y^3/z^3*(-x^3z^3/y^3)*x^4/y^4z^4=-x^10/y^4z^4(2)x2+2x+1/x2÷25-x2/x2+5x =(x+1)^2/x^2*x(x+5)/(x+5)(5-x)=(x+1)^2/x(5-x)(3)-4x2+12xy-9y2/4x2-9y2,其中x=3y -4x2...