Question

 1)  $frac{x + 2}{ x^{2} - 2x + 1} * frac{3(x - 1)}{ x^{2} - 4} - frac{3}{x - 2} ;$

Answer 1

$frac{x+2}{(x-1) ^{2} } * frac{3(x-1)}{(x-2)(x+2)} = frac{3}{(x-1)(x-2)}$

$frac{3}{(x-1)(x-2)} - frac{3}{x-2} = frac{3-3x+3}{(x-1)(x-2)} = frac{3(2-x)}{(x-1)(x-2)} = frac{3}{1+x}$