Giải thích các bước giải:

a) $\dfrac{2003 * 1999 - 2003 * 999}{2004 * 999 + 1004}$

Cách 1: $\dfrac{2003 * 1999 - 2003 * 999}{2004 * 999 + 1004}$

= $\dfrac{2003 * (1999 - 999)}{(2003 +1) * 999 + 1004}$

= $\dfrac{2003 * 1000}{2003 * 999 + 999 + 1004}$

= $\dfrac{2003 * 1000}{2003 * 999 + 2003}$

= $\dfrac{2003 * 1000}{2003 * (999 + 1)}$

= $\dfrac{2003 * 1000}{2003 * (1000)}$ = 1

Cách 2: $\dfrac{2003 * 1999 - 2003 * 999}{2004 * 999 + 1004}$

= $\dfrac{2003 * (1999 - 999)}{2004 * (1001 - 1) + 1004}$

= $\dfrac{2003 * 1000}{2004 * 1000}$

= $\dfrac{2003 * 1000}{(2004 - 1) * 1000}$

= $\dfrac{2003 * 1000}{2003 * 1000}$ = 1

b) $\dfrac{1996 * 1995 - 996}{1000 + 1996 * 1994}$

Cách 1: $\dfrac{1996 * 1995 - 996}{1000 + 1996 * 1994}$

= $\dfrac{1996 * 1995 - 996}{1996 * 1995 + 1996 - 996}$

= $\dfrac{1996 * 1995 - 996}{1996 * (1994 + 1) - 996}$

= $\dfrac{1996 * 1995 - 996}{1996 * 1995 - 996}$ = 1

Cách 2: $\dfrac{1996 * 1995 - 996}{1000 + 1996 * 1994}$

= $\dfrac{1996 * (1995 - 1) + 1996 - 996}{1000 + 1996 * 1994}$

= $\dfrac{1996 * 1994 + 1000}{1000 + 1996 * 1994}$ = 1

Đáp án:

 

Giải thích các bước giải:

2003 x 1999 - 2003 x 999

= 2003 x ( 1999 - 999 )

= 2003 x 1000

= 2003000

2004 x 999 + 1004

= ( 2003 + 1 ) x 999 + 1004

= 2003 x 999 +( 999 + 1004 )

= 2003 x 999 + 2003