(1-2²)+3²-4²+5²-6²+7²-8²+9²-10²
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/09 09:37:32
![(1-2²)+3²-4²+5²-6²+7²-8²+9²-10²](/uploads/image/z/1024415-71-5.jpg?t=%EF%BC%881-2%26%23178%3B%EF%BC%89%2B3%26%23178%3B-4%26%23178%3B%2B5%26%23178%3B-6%26%23178%3B%2B7%26%23178%3B-8%26%23178%3B%2B9%26%23178%3B-10%26%23178%3B)
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(1-2²)+3²-4²+5²-6²+7²-8²+9²-10²
(1-2²)+3²-4²+5²-6²+7²-8²+9²-10²
(1-2²)+3²-4²+5²-6²+7²-8²+9²-10²
原式=-(2^2-1)-(4^2-3^2)-(6^2-5^2)-(8^2-7^2)-(10^2-9^2)
=-(2+1)(2-1)-(4+3)(4-3)-(6+5)(6-5)-(8+7)(8-7)-(10+9)(10-9)
=-3*1-7*1-11*1-15*1-19^1=-3-7-11-15-19=-55