把 2009^/2010乘2008+1 进行简便计算

分类: 作业答案 • 2022-04-16 00:27:45

问题描述：

答

2010×2008+1
=(2009+1)(2009-1)+1
=2009²-1²+1
=2009²
所以
2009²/(2010×2008+1)
=2009²/2009²
=1

答

2009^/(2010乘2008+1 )
=2009^/[(2009+1)(2009-1)+1]
=2009^/[2009^-1^+1]
=2009^/2009^
=1