1995 x 1997 - 1
------------------------------
1996 x 1995 + 1994
giúp em với ạ
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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) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
1995 x 1996 - 1997 / 1995 x 1994 +1993 = 3982017,001
\(...=\dfrac{1998x1996+1996+1+1996-1}{\left(1997-1995\right)x1996}\)
\(=\dfrac{1998x1996+2x1996}{2x1996}=\dfrac{1996\left(1998+2\right)}{2x1996}=\dfrac{2000}{2}=1000\)
\(1997\times1996+1\)
\(=3986012+1\)
\(=3986013\)
\(1995\times1997+1996\)
\(=3984015+1996\)
\(=3986011\)
học tốt
1997x1996+1=3986013
1995x1997+1996=3986011
calculator tính r, ko sai đâu:)
\(\frac{1995.1997-1}{1996.1995+1994}\)
\(=\frac{1995.1996+1995-1}{1996.1995+1994}\)
\(=\frac{1995.1996+1994}{1996.1995+1994}=1\)
#
-\(\frac{1995\cdot1997-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot\left(1996+1\right)-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot1996+1995\cdot1-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot1996+1994}{1995\cdot1996+1994}\)
=1
a) \(\frac{399\times45+55\times399}{1995\times1996-1991\times1995}=\frac{399\times\left(45+55\right)}{1995\times\left(1996-1991\right)}=\frac{399\times100}{1995\times5}=4\)
b) \(\frac{1996\times1995-996}{1000+1996\times1994}=\frac{1996\times\left(1994+1\right)-996}{1000+1996\times1994}=\frac{1996\times1994+1996-996}{1000+1996\times1994}\)
\(=\frac{1996\times1994+1000}{1000+1996\times1994}=1\)
c) \(\frac{637\times527-189}{526\times637+448}=\frac{637\times\left(526+1\right)-189}{526\times637+448}=\frac{637\times526+637-189}{526\times637+448}=\frac{637\times526+448}{526\times637+448}=1\)
d) \(\frac{677\times874+251}{678\times874-623}=\frac{677\times874+251}{874\times\left(677+1\right)-623}=\frac{677\times874+251}{874\times677+874-623}=\frac{677\times874+251}{874\times677+251}=1\)
\(\dfrac{1995x1997-1}{1996x1995+1994}=\dfrac{1995x\left(1996+1\right)-1}{1996x1995+1994}\)
\(=\dfrac{1995x1996+1995-1}{1996x1995+1994}=\dfrac{1995x1996+1994}{1996x1995+1994}=1\)
1