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1996*1995-1996*1994=1996
(1996*1995-996)-(1996*1994)=1996-996=1000
(1996*1995-996)-(1996*1994+1000)=1996-996-1000=0
=>(1996*1995-996)/(1996*1994+1000)=1( vì tử số bằng mẫu số)
\(\frac{1996.1995-996}{1996.1994+1000}=\frac{\left(1000+996\right).1995-996}{\left(1000+996\right).1994+1000}\)
\(=\frac{1000.1995+996.1995-996}{996.1994+1000.1994+1000}=\frac{1000.1995+996\left(1995-1\right)}{996.1994+1000\left(1994+1\right)}\)
\(=\frac{1000.1995+996.1994}{996.1994+1000.1995}\)=1
\(a,\frac{125\cdot81\cdot7}{49\cdot75\cdot27}=\frac{25\cdot5\cdot9\cdot9\cdot7}{7\cdot7\cdot15\cdot5\cdot3\cdot9}=\frac{25\cdot9}{7\cdot15\cdot3}=\frac{5\cdot5\cdot3\cdot3}{7\cdot3\cdot5\cdot3}=\frac{5}{7}\)
\(b,\frac{48\cdot25-48\cdot11-48}{16\cdot23-16\cdot10}=\frac{1200-528-48}{368-160}=\frac{624}{208}=3\)
\(c,\frac{15\cdot\left[4\cdot17+17\cdot5\right]}{18\cdot25\cdot34}=\frac{15\cdot\left[17\cdot\left(4+5\right)\right]}{15300}=\frac{15\cdot153}{15300}\)
\(=\frac{2295}{15300}=\frac{3}{20}\)
\(d,\frac{1996\cdot1995-996}{1000+1996\cdot1994}=\frac{3982020-996}{1000+3980024}=\frac{3981024}{3981024}=1\)
\(\frac{1996x2011-1000}{996+2010x1996}\)
\(=\frac{\left(1996x2010+1996x1\right)-1000}{996+2010x1996}\)
\(=\frac{\left(1996x2010+1996\right)-1000}{996+2010x1996}\)
\(=\frac{1996x2010+1996-1000}{996+2010x1996}\)
\(=\frac{1996x2010+\left(1996-1000\right)}{996+2010x1996}\)
\(=\frac{1996x2010+996}{996+2010x1996}\)
\(=\frac{1996x2010+996}{2010x1996+996}\)
\(=\frac{1}{1}=1\)
Ta có: \(1996\cdot1995-996-100-1996\cdot1994\)
\(=1996\left(1995-1994\right)-1996\)
\(=1996-1996=0\)
1996x1995-996
----------------------
1000+1996x1994
=(1996-996)x1995
------------------------
(1994+1996)x1000
=1000x1994
------------------------
3990x1000
=1994000
------------------
3990000
=997
--------
1995
1996 * 1995 - 996 / 1996 * 1994 + 1000
= 1996 * 1994 + ( 1996 - 996 ) / 1996 * 1994 + 1000
= 1996 * 1994 + 1000 / 1996 * 1994 + 1000
= 1
**** cho mink nha !
K qua la bang 1 nha bn !
1996 x 1995 - 996 / 1000 + 1996 x 1994 = 1
D/s : 1
\(\dfrac{1996.1995-996}{1000+1996.1994}=\dfrac{1996\left(1994+1\right)-996}{1000+1996.1994}=\dfrac{1996.1994+1996-996}{1000+1996.1994}\)
\(=\dfrac{1000+1996.1994}{1000+1996.1994}=1\)