\(\dfrac{1989\times1990+3978}{1992\times1991-3984}\)
\(=\dfrac{1989\times1990+1989\times2}{1992\times1991-1992\times2}\)
\(=\dfrac{1989\times\left(1990+2\right)}{1992\times\left(1991+2\right)}\)
\(=\dfrac{1989\times1992}{1992\times1989}\)
\(=1\)
\(\left(1989\times1990+3978\right):\left(1992\times1991-3984\right)\\ =\left(1989\times1990+1989\times2\right):\left(1992\times1991-1992\times2\right)\\ =\left(1989\times1992\right):\left(1992\times1989\right)\\ =1\)