Các câu hỏi tương tự
Chứng minh rằng:
(y-z)/(x-y)(x-z) + (z-x)/(y-z)(y-x) + (x-y)/(z-x)(z-y) = 2/(x-y) + 2/(y-z) + 2/(z-x)
Chứng minh rằng:
(y-z)/(x-y)(x-z) + (z-x)/(y-z)(y-x) + (x-y)/(z-x)(z-y) = 2/(x-y) + 2/(y-z) + 2/(z-x)
Cho 1/x+y +1/y+z +1/z+x=0 Tính P=(y+z)(z+x)/(x+y)^2 + (x+y)(z+x)/(y+z)^2+ (y+z)(x+y)/(z+x)^2
сho (x ^ 2)/(x + y) + (y ^ 2)/(y + z) + (z ^ 2)/(z+ x) = 2000 tính (y ^ 2)/(x + y) + (z ^ 2)/(y + z) + (x ^ 2)/(z+ x)
сho (x ^ 2)/(x + y) + (y ^ 2)/(y + z) + (z ^ 2)/(z+ x) = 2000 tính (y ^ 2)/(x + y) + (z ^ 2)/(y + z) + (x ^ 2)/(z+ x)
cộng phân thức: M = 2/x-y + 2/y-z+2/z-x+{[(x-y)^2 + (y-z)^2 + (z-x)^2]/(x-y)(y-z)(z-x)}
a) (x+y)(x^2-y^2)+(y+z)(y^2-z^2)+(z+x)(z^2-x^2)
b) x^3(y-z)+y^3(z-x)+z^3(x-y)
c)x^3(z-y)+y^3(x-z)+z^3(y-z)+xyz(xyz-1)
Cho : (x+y) (x+z) (y+z) (y+x) = 2 (z+x) (z+y) CMR z^2 = (x^2+y^2)/2
rut gọn B=x^4(y^2-z^2)+y^4(z^2-x^2)+z^4(x^2-y^2)/x^2(y-z)+y^2(z-x)+z^2(x-y)
Cho x/(y-z)+y/(z-x)+z/(x-y)=0 cm x/(y-z)^2+y/(z-x)^2+z/(x-y)^2=0