Question

Tinh

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

\(B=\frac{x^2}{x-2}.\left(\frac{x^2+4}{x}-4\right)+5\)

Answer 1

A = (\(\frac{x}{x+1}\) + \(\frac{1}{x-1}\) ) : (\(\frac{2x+2}{x-1}\) - \(\frac{4x}{x^2-1}\) )

A = (\(\frac{x}{x+1}\) + \(\frac{1}{x-1}\) ) : ( \(\frac{2x+2}{x-1}\) - \(\frac{4x}{\left(x+1\right)\left(x-1\right)}\) )

\(\Rightarrow\) MTC: (x+1)(x-1)

A = ( \(\frac{x\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}\) + \(\frac{x+1}{\left(x+1\right)\left(x-1\right)}\) ) : (\(\frac{2\left(x+1\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}\) - \(\frac{4x}{\left(x+1\right)\left(x-1\right)}\) )

A = \(\frac{x^2+1}{\left(x+1\right)\left(x-1\right)}\) : \(\frac{2x^2+2}{\left(x+1\right)\left(x-1\right)}\)

A = \(\frac{\left(x^2+1\right)\left(x+1\right)\left(x-1\right)}{2\left(x^2+1\right)\left(x+1\right)\left(x-1\right)}\)

A = \(\frac{1}{2}\)

 

mệt rồi :v ngủ =)))