P=\(\frac{3\left(x+\sqrt{x}-3\right)}{x+\sqrt{x}-2}+\frac{\sqrt{x}+3}{\sqrt{x}+2}+\frac{\sqrt{x}-2}{1-\sqrt{x}}\\ \)
a, rut gon
b, tim x de P<\(\frac{15}{4}\)
c, tim gia tri lon nhat cua P
cho A =\(\frac{-\sqrt{x}}{x+\sqrt{x}+1}\)
Tim gia tri lon nhat cua Q = \(\frac{2}{P}+x\)
cho bieu thuc \(P=\left(\frac{\sqrt{x}-2}{x-1}-\frac{\sqrt{x+2}}{x-2\sqrt{x}+1}\right)\cdot\frac{\left(1-x\right)^2}{2}\)
a) rut gon P
b) tim gia tri lon nhat cua P
tim gia tri lon nhat cua \(\frac{yz\sqrt{x-1}+xz\sqrt{y-2}+xy\sqrt{z-3}}{xyz}\)
tim gia tri nho nhat cua P=\(\frac{x+3\sqrt{x}+2}{x}\)
a\Rut gon bieu thuc
b/Tim gia tri nho nhat cua 4A
A=\(\frac{5\sqrt{x}+4}{x+\sqrt{x}-2}+\frac{\sqrt{x}-1}{\sqrt{x}+2}-\)\(\frac{\sqrt{x}+2}{\sqrt{x}-1}\)
Tim gia tri lon nhat va gia tri nho nhat cua bieu thuc sau: A=\(\frac{x+1}{x^2+x+1}\)
Cho A \(\left(\frac{x-\sqrt{x}}{\sqrt{x}-1}+\frac{\sqrt{x}+1}{X+\sqrt{X}}\right):\frac{\sqrt{X}+1}{X}\)
a)Tìm dk cua x de A co nghia
b)Rut gon A
c)Tim gia tri nho nhat cua A
tim gia tri lon nhat hoac be nhat cua bieu thuc
A=\(2x-2\sqrt{x}+1\)
B=\(-x+2\sqrt{x-1}+1\)