Question

1995*1997-1/1996*1995+1994

Answer 1

\(\frac{1995.1997-1}{1996.1995+1994}\)

\(=\frac{1995.1996+1995-1}{1996.1995+1994}\)

\(=\frac{1995.1996+1994}{1996.1995+1994}=1\)

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Answer 2

-\(\frac{1995\cdot1997-1}{1995\cdot1996+1994}\)

=\(\frac{1995\cdot\left(1996+1\right)-1}{1995\cdot1996+1994}\)

=\(\frac{1995\cdot1996+1995\cdot1-1}{1995\cdot1996+1994}\)

=\(\frac{1995\cdot1996+1994}{1995\cdot1996+1994}\)

=1