Question

Найдите значение (4p/p^2 -1) + (2/1-p) - (1/p+1)

Answer 1

$frac{4p}{p^{2} -1} + frac{2}{1-p} - frac{1}{p+1} = frac{4p}{(p-1)(p+1)} - frac{2}{p-1} - frac{1}{p+1} = frac{4p-2(p+1)-p+1}{(p+1)(p-1)} = \ \ frac{4p-2p-2-p+1}{(p-1)(p+1)} = frac{p-1}{(p-1)(p+1)} = frac{1}{p+1}$