
用简便方法计算:[(2011²﹣2017)(2011²﹢4019)×2011]/﹙2008×2010×2013×2014﹚ 求解答
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[(2011²﹣2017)(2011²﹢4019)×2011]/﹙2008×2010×2013×2014﹚
=[(2011²-2011-6)(2011²﹢2*2011-3)×2011]/﹙2008×2010×2013×2014﹚
=[(2011-3)(2011+2)(2011+3)(2011-1)×2011]/﹙2008×2010×2013×2014﹚
=(2008×2013×2014×2010×2011)/﹙2008×2010×2013×2014﹚
=2011
=[(2011²-2011-6)(2011²﹢2*2011-3)×2011]/﹙2008×2010×2013×2014﹚
=[(2011-3)(2011+2)(2011+3)(2011-1)×2011]/﹙2008×2010×2013×2014﹚
=(2008×2013×2014×2010×2011)/﹙2008×2010×2013×2014﹚
=2011
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