Question

Mọi người giúp em với :((

A= \(\left(\frac{x-\text{3√x}}{x-9}-1\right)\)\(\left(\frac{9-x}{x+\text{√}x-6}+\frac{\text{√}x-3}{\text{√}x-2}-\frac{\text{√}x+2}{\text{√}x+3}\right)\)với x<0 ; x≠2 ; x≠9

a) rút gọn biểu thức A

cảm ơn mọi người <3

Answer 1

\(A=\left(\frac{x-3\sqrt{x}}{x-9}-1\right)\left(\frac{9-x}{x+\sqrt{x}-6}+\frac{\sqrt{x}-3}{\sqrt{x}-2}-\frac{\sqrt{x}+2}{\sqrt{x}+3}\right)\)

\(=\left(\frac{\sqrt{x}}{\sqrt{x}+3}-1\right)\left(\frac{9-x+x-9-x+4}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+3\right)}\right)\)

\(=\frac{-3}{\sqrt{x}+3}.\frac{2-\sqrt{x}}{\sqrt{x}+3}\)

\(=\frac{3\sqrt{x}-6}{\left(\sqrt{x}+3\right)^2}\)