1997x1996-1 /1995x1997+1996
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\(A=\dfrac{1997\times1996-1}{1995\times1997+1996}=\dfrac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\dfrac{1995\times1997+1997-1}{1995\times1997+1996}=\dfrac{1995\times1997+1996}{1995\times1997+1996}=1\)
\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1997x1996-1}{1995x1997+1997-1}\)
\(=\frac{1997x1996-1}{1997x\left(1995+1\right)-1}\)
\(=\frac{1997x1996-1}{1997x1996-1}\)
\(=1\)( 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
\(\frac{1997x1996-995}{1995x1997+1002}=\frac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1997x1-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1997-995}{1995x1997+1002}\)
\(=\frac{1997x1995+1002}{1995x1997+1002}=1\)
\(\frac{1997.1996-97}{1995.1997-1000}=\frac{1997.1995+1997-97}{1997.1995-1000}=\frac{1997.1995-1000}{1997.1995-1000}=1\)
\(\frac{1997\times1996-97}{1995\times1997-1000}=\frac{1997\times1995+1997-97}{1997\times2995+1000}=\frac{1997\times1995+1000}{1997\times1995+1000}=1\)
a . 254 x 399 - 145 / 254 + 399 x 253 = ( 253 + 1 ) x 399 - 145 / 254 + 399 x 253
= 253 x 399 + 1 x 399 - 145 / 254 + 399 x 253
=253 x 399 + 399 - 145 / 254 + 399 x 253
= 253 x 399 + ( 399 - 145) / 254 + 399 x 253
= 253 x 399 + 254 / 254 + 399 x 253
= 1
b. 1997 x 1996 - 995 / 1995 x 1997 + 1002 = 1997 x ( 1995 + 1 ) - 995 / 1995 x 1997 + 1002
= 1997 x 1995 + 1997 - 1995 / 1995 x 1997 + 1002
= 1997 x 1995 + ( 1997 - 995 ) / 1995 x1997 + 1002
= 1997 x1995 + 1002 / 1995 x 1997 + 1002
= 1
c. 5932 + 6001 x 5031 / 5932 x 6001 - 69 = 5932 + 6001 x 5031 / ( 5031 + 1 ) x 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + ( 6001 - 69 )
= 5932 + 6001 x 5031 / 5031 x 6001 + 5932
= 1
d. 1995 x 1997 - 1 / 1996 x 1995 + 1994 = 1995 x ( 1996 + 1 ) - 1 / 1996 x 1995 + 1994
= 1995 x1996 + 1995 - 1 / 1996 x 1995 + 1994
= 1995 x 1996 + ( 1995 - 1 ) / 1996 x 1995 + 1994
= 1995 x 1996 + 1994 / 1996 x 1995 + 1994
= 1
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