-1997.1996+1/(-1995).(-1997)+1996
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\(\frac{-1997\cdot1996+1}{-1995\cdot\left(-1997\right)+1996}\)
\(=\frac{-1997\cdot\left(1995+1\right)+1}{1995\cdot1997+1996}\)
\(=\frac{-1997\cdot1995+\left(-1997\right)+1}{1995\cdot1997+1996}\)
\(=\frac{-1997\cdot1995+\left(-1996\right)}{1995\cdot1997+1996}\)
\(=-1\)
\(\frac{-1997.1996+1}{-1995.\left(-1997\right)+1996}\)
\(=\frac{-1997.1996+1}{1995.1997+1996}\)
\(=\frac{-1997.\left(1995+1\right)+1}{1995.1997+1996}\)
\(=\frac{-1997.1995+-1997+1}{1995.1997+1996}\)
\(=\frac{1995.-1997+-1996}{1995.1997+1996}\)
\(=\frac{-\left(1995.1997+1996\right)}{1995.1997+1996}\)
\(=-1\)
\(\frac{-1997\cdot1996+1}{-1995\cdot-1997+1996}\)=\(\frac{-1996\cdot1997+1}{1995\cdot1997+1997-1}\)=\(\frac{-1996\cdot1997+1}{\left(1995\cdot1997+1997\right)-1}\)=\(\frac{-1996\cdot1997+1}{1996\cdot1997-1}\)
Ta thấy -1996*1997+1 và 1996*1997-1 là 2 số đối nhau=>\(\frac{-1997\cdot1996+1}{-1995\cdot-1997+1996}\)=1a: \(=\dfrac{1995\left(1996+1\right)-1}{1996\cdot1995+1994}\)
\(=\dfrac{1995\cdot1996+1995-1}{1996\cdot1995+1994}\)
\(=\dfrac{1995\cdot1996+1994}{1996\cdot1995+1994}=1\)
b: \(=\dfrac{1988\cdot1916+2\cdot1916}{1996\left(1997-1995\right)}\)
\(=\dfrac{1990}{2}=995\)
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