Question

[Sahora Anko]

Giúp mình gấp nhé, mai mình ktra rồi!

Rút gọn biểu thức sau:

A = ( x+1/x-1 - x-1/x+1 ) : 2x/5(x+1).

Cảm ơn nhìu!

Answer 1

[I don't need you]

\(A=\left(\frac{x+1}{x-1}-\frac{x-1}{x+1}\right):\frac{2x}{5.\left(x+1\right)}\)

\(A=\left(\frac{x^2+2x+1}{\left(x+1\right).\left(x-1\right)}-\frac{x^2-2x+1}{\left(x+1\right).\left(x-1\right)}\right):\frac{2x}{5.\left(x+1\right)}\)

\(A=\frac{x^2+2x+1-x+2x-1}{\left(x+1\right).\left(x-1\right)}\cdot\frac{5.\left(x+1\right)}{2x}\)

\(A=\frac{4x}{\left(x+1\right).\left(x-1\right)}\cdot\frac{5.\left(x+1\right)}{2x}=\frac{10}{x-1}\)

Answer 2

[Sahora Anko]

Cảm ơn bn nhiều!