cho a,b la cac so duong thoa man : a+b=1
Tim gia tri nho nhat cua bieu thuc: T= \(\frac{19}{ab}+\frac{6}{a^2+b^2}+2011\left(a^4+b^4\right)\)
cho a,b,c la cac so thuc duong thoa man a+b+c=3. tim gia tri nho nhat cua
P=\(\frac{a}{a^3+b^2+c}+\frac{b}{b^3+c^2+a}+\frac{c}{c^3+a^2+b}\)
1. Cho a,b,c,d la cac so nguyen thoa man \(a^2=b^2+c^2+d^2\)
chung minh rang a.b.c.d + 2015 viet duoc duoi dang hieu cua 2 so chinh phuong.
2. Cho a,b la cac so duong thoa man dieu kien a+b=1. tim gia tri nho nhat cua bieu thuc
\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)
Cho 2 so duong a,b thoa man \(\frac{1}{a}+\frac{1}{b}=2\)
Tim GTLN cua bieu thuc A=\(\frac{1}{a^4+b^2+2ab^2}+\frac{1}{b^4+a^2+2a^2b}\)
cho a,b laf cac so thuc duong tm a+b=2 tim min
\(\frac{2a^2+3b^2}{2a^3+3b^3}\)+\(\frac{2b^2+3a^2}{2b^3+3a^3}\)
Cho a,b la cac so thuc duong thoa man a^2 +b^2 =2.Tim gia tri lon nhat cua bieu thuc
P=a\(\sqrt{b\left(a+8\right)}\)+b\(\sqrt{a\left(b+8\right)}\)
a,b,c la cac so thuc duong thoa man \(\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}=2\)
Max P=abc
cho a,b,c la cac so thoa man a^2+b^2+c^2=<8 tim GTNN cua xy+yz+2xz
cho a,b,c la cac so thuc duong thoa man 21ab+2bc+8ac <= 12
khi do gia ti nho nhat cua A=1/a+2/b +3/c