Rút gọn: P= \(\left(\frac{1}{1-\sqrt{2}}-\frac{1}{\sqrt{x}}\right):\left(\frac{2x+\sqrt{x}-1}{1-x}+\frac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\right)\)

Rút gọn:

\(A=1-\left[\dfrac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}+\dfrac{2x-1+\sqrt{x}}{1-x}\right]\cdot\left[\dfrac{\left(x-\sqrt{x}\right)\left(1-\sqrt{x}\right)}{2\sqrt{x}-1}\right]\)

\(B=\left[1:\frac{2x-1}{x-x^2}\right]\cdot\left[\frac{2x^3+x^2-x}{x^3-1}-2-\frac{1}{x-1}\right]\)

Rút gọn biểu thức sau: A=\(\left[\left(x^4-x+\frac{x-3}{x^3+1}\right).\frac{\left(x^3-2x^2+2x-1\right)\left(x+1\right)}{x^9+x^7-3x^2-3}+1-\frac{2\left(x+6\right)}{x^2+1}\right].\frac{4x^2+4x+1}{\left(x+4\right)\left(3-x\right)}\)

a,\(\frac{\left(2x^3\right)}{4x^7}\)

b,\(\frac{\left(x-1\right)}{\left(x+1\right)^2}.\frac{x^2+2x+1}{x^2-1}\)

c,\(\frac{x^2-7x+12}{x^2-16}\)

d, \(\frac{x-1}{\sqrt{x+1}}:\left(\sqrt{x-1}\right)\)

Rút gọn biểu thức 

1)\(\frac{c\left(a+c\right)-a\left(a-c\right)}{\frac{c}{a-c}-\frac{a}{a+ c}}\)

2) \(\frac{\frac{x^2-y^2}{x}}{\frac{1}{x}-\frac{1}{y}}\)

3) \(x:\frac{x-1}{2}-\frac{\left(x-1\right)\left(x^2+4x+1\right)}{2x^2+2x}.\frac{-4x}{\left(x-1\right)^2}-\frac{4x^2}{x^2-1}\)

Giải phương trình :

1)\(\sqrt[3]{6x+1}=8x^3-4x-1\\ \) 

2)\(2x+\frac{x-1}{x}=\sqrt[2]{1-\frac{1}{x}}+3\sqrt{x-\frac{1}{x}}\)

3)\(\frac{15}{2}\left(30x^2-4x\right)=2004\left(\sqrt{30060x+1}+1\right)\)

Ai biết giải giúp mình nha,mình nổ não lun mà ko giải được.

Rút gọn biểu thức:

\(\left(\frac{2x+1}{\sqrt{x^3-1}}-\frac{\sqrt{x}}{x+\sqrt{x}+1}\right).\left(\frac{1+\sqrt{x^3}}{1+\sqrt{x}}-\sqrt{x}\right)\)

Giải \(\frac{1}{\sqrt{x}}+\frac{1}{\sqrt{2x+3}}=\sqrt{3}.\left(\frac{1}{\sqrt{4x}-3}+\frac{1}{\sqrt{5x}-6}\right)\)