Question

2005*20062006-2006*20052005的简便方法

Answer 1

2005 x 2006 x 2006 - 2006 x 2005 x 2005
= 2005 x 2006 x (2006-2005)
= 2005 x 2006 x 1
= (2000+5) x (2000+6)
= 4000000 + 11 x 2000+30
= 4000000 + 22000+30
= 4022030

Answer 2

2005*20062006-2006*20052005
=2005*2006*（10001-10001）
=2005*2006*0
=0

Answer 3

2005×20062006-2006×20052005
=2005×2006×10001-2006×2005×10001
=0

Answer 4

望采纳

Answer 5

2005x20062006-2006x20052005
=(2006-1)x(20052005 +10001) -2006x20052005
=2006x20052005 +2006x10001-20052005-10001 -2006x20052005
=2006x10001-20052005-10001
=10001x2005 -20052005
=10001x2005 -2005x10001
=0