简便计算:99²+2*99+1 2011²-2012*2010
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 03:01:59
![简便计算:99²+2*99+1 2011²-2012*2010](/uploads/image/z/241808-32-8.jpg?t=%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97%EF%BC%9A99%26%23178%3B%2B2%2A99%2B1+2011%26%23178%3B-2012%2A2010)
简便计算:99²+2*99+1 2011²-2012*2010
简便计算:99²+2*99+1 2011²-2012*2010
简便计算:99²+2*99+1 2011²-2012*2010
99²+2*99+1
= (99+1)²
= 100²
= 10000
2011²-2012*2010
= 2011²-(2011+1)*(2011-1)
= 2011²-(2011²-1)
= 2011²-2011²+1
= 1
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