So sánh với 1:
\(\frac{1997x1996-97}{1995x1997-1000}\)
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\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x1996-1}{1995x1997+1997-1}\)
\(=\frac{1997x1996-1}{1997x\left(1995+1\right)-1}\)
\(=\frac{1997x1996-1}{1997x1996-1}\)
\(=1\)( vì tử số = mẫu số )
Tham khảo nha !!!
\(\frac{1997\times1996-1}{1995\times1997+1996}\)
= \(\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
= \(\frac{1997\times1995+1996}{1995\times1997+1996}\)= 1
\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x\left(1995+1\right)-1}{1997x1996+1996}\)
\(=\frac{1997x1995+1997-1}{1997x1995+1996}\)
\(=\frac{1997x1995+1996}{1997x1995+1996}\)
=1
\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot1000}=\frac{96\cdot1\cdot....\cdot1}{1\cdot1\cdot....\cdot1\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)
96/97x97/98x....x999/1000
=96x97x...x999x1000/97x98x...x999x1000
=96/1000
=12/125
\(\frac{1997x1996-995}{1995x1997+1002}=\frac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1997x1-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1997-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1002}{1995x1997+1002}=1\)
\(A=\dfrac{1997\times1996-1}{1995\times1997+1996}=\dfrac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\dfrac{1995\times1997+1997-1}{1995\times1997+1996}=\dfrac{1995\times1997+1996}{1995\times1997+1996}=1\)
\(\frac{1997.1996-97}{1995.1997-1000}=\frac{1997.1995+1997-97}{1997.1995-1000}=\frac{1997.1995-1000}{1997.1995-1000}=1\)
\(\frac{1997\times1996-97}{1995\times1997-1000}=\frac{1997\times1995+1997-97}{1997\times2995+1000}=\frac{1997\times1995+1000}{1997\times1995+1000}=1\)