cho x,y>0 thoa man x lon hon hoac bang 2y.TTim min M=x^2+y^2/xy
cmr : a^2/b^2 +b^2/c^2+c^2/a^2 luon luon lon hon hoac bang c/b+ b/a+ a/c voi a,b,c lon hon 0
chung minh P=x^4 - 2x^3 + 2x^2 - 2x + 1 lon hon hoac = 0 voi moi gia tri cua x
CMR so thuc a,b,c thi a^2+b^2+c^2+ab+bc+ca lon hon hoac bang 0
CMR so thuc a,b,c thi a^2+b^2+c^2+ab+bc+ca lon hon hoac bang 0
tim Mim A= a^3+b^3+c^3 biet : a,b,c lon hon hoac bang 1va a+b+c= 0
c/m voi 3 so thuc tuy y ta co
a2 cong b2 cong 1 lon hon hoac bang ab cong a cong b
cho x+y =2. chung minh rang x^2015+y^2015 ba hon hoac bang x^2016+y^2016
Bai 2: cho a,b,c>0.CMR
\(\frac{a^3}{bc}+\frac{b^3}{ac}+\frac{c^3}{ab}\)lon hon hoac bang a+b+c