\(B=\dfrac{2x}{x-1}+\dfrac{5\left(x-1\right)\left(x+1\right)}{\left(x+1\right)^2}\cdot\dfrac{2\left(x+1\right)}{-5\left(x-1\right)}=\dfrac{2x}{x-1}-2=\dfrac{2x-2x+2}{x-1}=\dfrac{2}{x-1}\)
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