cho a,b,c la ba so thuc khac nhau doi mot thoa man a^2(b+c)=b^2(a+c)=2015.Tinh c^2(a+b)

cho 3 so thuc abc khac 0 va mot doi so khac nhau thoa man 

a² . ( b+ c ) = b² . ( a + c ) = 2018 

Tinh gia tri bieu thuc H = c² . ( a+b)

Cho cac so thuc phan a,b,c khac nhau doi mot va thoa man a^2-b=b^2-c=c^2-a . CMR (a+b+1)()b+c+1(c+a+1)=-1- de hsg tinh mon toan 9 nam 2012

cho a, b, c khac 0 va doi mot khac nhau thoa man: \(a^2\left(b+c\right)=b^2\left(a+c\right)=2013\)

tinh gia tri cua bthuc \(H=c^2\left(a+b\right)\)

cho 3 so a,b,c khac thuoc Q khac nhau tung doi mot va khac 0 thoa man a/b+c=b/a+c=c/a+b

Chung minh b+c/a+a+c/b+a+b/c khong phu thuoc vao cac gia tri cua a,b,c

cho a,b,c la 3 so thuc doi mot khac nhau va khac khong, thoa man: a+1/b=b+1/c=c+1/a. hay chung minh rang abc=1 hoac abc=-1

Cho ba so a , b, c thuoc Q khac nhau tung doi mot va khac 0 thoa man \(\dfrac{a}{b+c}=\dfrac{b}{a+c}=\dfrac{c}{a+b}\). Chung minh \(\dfrac{b+c}{a}+\dfrac{a+c}{b}+\dfrac{a+b}{c}\) khong phu thuoc vao cac so a , b, c

tim 3 so a,b,c khac nhau va khac 0 thoa man : a/(b+c) = b/(a+c) = c/(a+b)

cho a,b,c la ba so doi mot khac nhau thoa man (a+b+c)²=a²+b²+c²

^{tinh gia tri cua bieu thuc P=}a²/(a²+2bc)+b²/(b²+2ac)+c²/(c²+2ab)