用简便方法计算:(2011²-2017)(2011²+4019)×2011/2008×2010×20
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/17 03:15:11
用简便方法计算:(2011²-2017)(2011²+4019)×2011/2008×2010×2013×2014
![用简便方法计算:(2011²-2017)(2011²+4019)×2011/2008×2010×20](/uploads/image/z/8691900-60-0.jpg?t=%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%97%EF%BC%9A%EF%BC%882011%26%23178%3B-2017%EF%BC%89%EF%BC%882011%26%23178%3B%2B4019%EF%BC%89%C3%972011%EF%BC%8F2008%C3%972010%C3%9720)
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
=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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