a: \(=\dfrac{x^2-2xy+y^2}{x-y}=x-y\)
b: \(=\dfrac{5x-7+9-3x}{2\left(x-1\right)}-\dfrac{4x}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{2x+2}{2\left(x-1\right)}-\dfrac{4x}{\left(x-1\right)\left(x+1\right)}=\dfrac{x+1}{x-1}-\dfrac{4x}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x^2+2x+1-4x}{\left(x-1\right)\left(x+1\right)}=\dfrac{\left(x-1\right)^2}{\left(x-1\right)\left(x+1\right)}=\dfrac{x-1}{x+1}\)


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