chi x,y>1 tìm min p=\(\dfrac{\left(x^3+y^3\right)-\left(x^2+y^2\right)}{\left(x-1\right)\left(y-1\right)}\)

cho x,y>0 và x+y=1 tìm min p=\(\dfrac{x}{\sqrt{1-x}}\)+\(\dfrac{y}{\sqrt{1-y}}\)

cho 0<a,b,c<2 cmr \(\dfrac{1}{2-a}\)+\(\dfrac{1}{2-b}\)+\(\dfrac{1}{2-c}\)>=\(\dfrac{a^2+b^2+c^2+ab+bc+ac}{2}\)

cho a+b=2 a,b>0 tìm min F=\(\dfrac{a^2}{a+1}\)+\(\dfrac{b^2}{b+1}\)

cho a+b+c=3/2 a,b,c>0 tìm min F=\(\dfrac{a^2}{a+2b^2}\)+\(\dfrac{b^2}{b+2c^2}\)+\(\dfrac{c^2}{c+2a^2}\)

cho F=\(\dfrac{3+2a^2}{a}\) tìm min F biết a)a>0 b)a>=2 c)0<a<=1/2

cho x2+y2+z2=3,x,y,z>0 tìm min A=\(\dfrac{1}{x+2}\)+\(\dfrac{1}{y+2}\)+\(\dfrac{1}{z+2}\)

cho a+b+c=3,a,b,c>=0 tìm max (x2+y2+z2)(xy+yz+xz)2

cho a>b>0 tìm min F=a+ 1/(a-b)b2