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 va gia tri nho nhat cua bieu thuc sau: A=\(\frac{x+1}{x^2+x+1}\)
tim gia tri lon nhat cua bieu thuc\(\frac{1}{3x-2\sqrt{6x}+5}\)
gia tri nho nhat cua bieu thuc \(\sqrt{x-1}+\sqrt{2x^2-5x+7}\)
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 nho nhat va lon nhat cua bieu thuc sau: \(p=\frac{4x+3}{x^2+1}\)
tim gia tri lon nhat cua P=2x+\(\sqrt{1-4x-x^2}\)
Cho x,y la cac so thuc duong. Tim gia tri nho nhat cua bieu thuc:
\(P=\frac{xy}{x^2+y^2}+\left(\frac{1}{x}+\frac{1}{y}\right)\sqrt{2\left(x^2+y^2\right)}\)
gia tri lon nhat cua bieu thuc P=can bac hai cua (3+2x-x^2)