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用简便方法计算:(2011²-2017)(2011²+4019)×2011/2008×2010×2013×2014
人气:255 ℃ 时间:2020-01-27 23:47:28
解答
2011²-2017
=2011²-2011-6
=(2011-3)×(2011+2)
=2008×2013
2011²+4019
=2011²+2011×2 -3
=(2011-1)×(2011+3)
=2010×2014
(2011²-2017)(2011²+4019)×2011/2008×2010×2013×2014
=2008×2013×2010×2014/2008×2010×2013×2014
=1
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