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\(∘Anya\)
\(=\dfrac{\text{1997 × 1996 − 995}}{\text{1995 × 1997 + 1002 }}\)
\(=\dfrac{\text{1997 × ( 1995 + 1 ) − 995}}{\text{1995 × 1997 + 1002}}\)
\(=\dfrac{\text{1997 × 1995 + 1997 − 995}}{\text{1995 × 1997 + 1002}}\)
\(=\dfrac{\text{1997 × 1995 + 1002}}{\text{1995 × 1997 + 1002 }}=1\)
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) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
1996 x 1997 + 1998 x 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 1996 x 1997 + ( 1997 + 1 x 3 ) + 1994 / 1997 x 1999 - 1997 x 1997
= 1996 x 1998 + 1 x 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 3988008 + 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 3990005 / 1997 x 1999 - 1997 x 1997
= 3990005 / ( 1999 - 1997 ) x 1997
= 3990005 / 3994
Ta có : ( 1998 * 1996 + 1997 * 11 + 1985 ) / ( 1997 * 1996 - 1995 * 1996 ) .
= ( 1998 * 1997 - 1998 + 1997 * 11 + 1985 ) / 1996 * ( 1997 - 1995 ) .
= [ 1997 * ( 1998 + 11 ) - 1998 + 1985 ] / 1996 * 2 .
= [ 1997 * 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 1996 ] / 1996 * 2 .
= [ 1996 * ( 2009 + 1 ) / 1996 * 2 .
= 1996 * 2010 / 1996 * 2 .
= 1005 .
\(\frac{1997\times1996-1}{1995\times1997+1996}=\frac{1997\times\left(1995+1\right)-1}{1995\times1997+1996}=\frac{1997\times1995+1997-1}{1995\times1997+1996}\)
\(=\frac{1997\times1995+1996}{1995\times1997+1996}=1\)
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