如何简便运算下列两道题:(1)20
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如何简便运算下列两道题:(1)20
(1)20012001x2002-20022002x2001;
(2)19931993x1994-19941994x1993
(1)20012001x2002-20022002x2001;
(2)19931993x1994-19941994x1993
![如何简便运算下列两道题:(1)20](/uploads/image/z/13045826-2-6.jpg?t=%E5%A6%82%E4%BD%95%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%E4%B8%8B%E5%88%97%E4%B8%A4%E9%81%93%E9%A2%98%EF%BC%9A%EF%BC%881%EF%BC%8920)
1)20012001x2002-20022002x2001
= (2001x10000+2001)x 2002 - (2002x10000+2002)x2001
= 2001x10000x2002+2001x2002- 2002x10000x2001-2002x2001
=0
2 ) 19931993x1994-19941994x1993
= (1993x10000+1993)x1994-(1994x10000+1994)x1993
=1993x1994x10000+1993x1994-1994x1993x10000-1994x1993
=0
= (2001x10000+2001)x 2002 - (2002x10000+2002)x2001
= 2001x10000x2002+2001x2002- 2002x10000x2001-2002x2001
=0
2 ) 19931993x1994-19941994x1993
= (1993x10000+1993)x1994-(1994x10000+1994)x1993
=1993x1994x10000+1993x1994-1994x1993x10000-1994x1993
=0