1997x1996-1/1995*1997+1996
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-1997*1996+1/-1995*(-1997)+1996
=-1997*(1995+1)+1/-1*1995*(-1)*1997+1996
=-1997*1995+(-1997)+1/1995*1997+1996
=-1*1997*1995+(-1996)/1995*1997+1996
=-1
a) \(\dfrac{1997x1996-1}{1995x1997+1996}=\dfrac{1997x\left(1995+1\right)-1}{1995x1997+1996}\)
\(=\dfrac{1997x1995+1997-1}{1995x1997+1996}=\dfrac{1997x1995+1996}{1995x1997+1996}=1\)
b) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
\(\dfrac{1998.1996+1997+1995}{1997.1996-1995.1996}\)
\(=\dfrac{1998.1996}{1997.1996-1995.1996}+\dfrac{1997+1995}{1997.1996-1995.1996}\)
\(=\dfrac{1998.1996}{1996\left(1997-1995\right)}-\dfrac{1997-1995}{1996\left(1997-1995\right)}\)
\(=\dfrac{1998}{1997-1995}-\dfrac{1}{1996}\)
\(=\dfrac{1998}{2}-\dfrac{1}{1996}\)
\(=999-\dfrac{1}{1996}\)
\(\approx998,99\)
\(...=\dfrac{1998x1996+1996+1+1996-1}{\left(1997-1995\right)x1996}\)
\(=\dfrac{1998x1996+2x1996}{2x1996}=\dfrac{1996\left(1998+2\right)}{2x1996}=\dfrac{2000}{2}=1000\)