1x1-2x2+3x3-4x4+5x5-6x6.-100x100+101x101

问题描述:

1x1-2x2+3x3-4x4+5x5-6x6.-100x100+101x101
1个回答 分类:数学 2014-12-01

问题解答:

我来补答
1x1-2x2+3x3-4x4+5x5-6x6.-100x100+101x101
=1^2-2^2+3^2-4^2+5^2-6^2.-100^2+101^2
=(1-2)(1+2)+(3-4)(3+4)+.(99-100)(99+100)+101^2
=-(1+2+3+4.+99+100)+101^2
=-101*50+101^2
=101*(101-50)
=5151
 
 
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