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\(\frac{1997\times1996-1}{1995\times1997+1996}=\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
\(=\frac{1997\times1995+1996}{1995\times1997+1996}=1\)
mẫu số
:1997x1996-1
1997x(1995+1)-1
1997x1995+1997x1-1
1997x1995+1997-1
1997x1995+1996
->1997x1996-1/1995x1997+1996
l i k e nhé
Bạn Huy Hoàng làm đúng đó mình đã làm bài này rồi.Chúc bạn làm bài tốt.
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) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
\(...=\dfrac{1998x1996+1996+1+1996-1}{\left(1997-1995\right)x1996}\)
\(=\dfrac{1998x1996+2x1996}{2x1996}=\dfrac{1996\left(1998+2\right)}{2x1996}=\dfrac{2000}{2}=1000\)
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\(\dfrac{1997\times1996-1}{1995\times1997+1996}\)
= \(\dfrac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}\)
= \(\dfrac{1997\times1995+1997-1}{1995\times1997+1996}\)
= \(\dfrac{1995\times1997+1996}{1995\times1997+1996}\)
= 1