(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)

来源:学生作业学帮网 编辑:学帮网 时间:2024/07/02 02:19:23

(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)

(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)
=(2²-1²)+(4²-3²)+(6²-5²)+(8²-7²)+(10²-9²)
=(2+1)(2-1)+(4+3)(4-3)+(6+5)(6-5)+(8+7)(8-7)+(10+9)(10-9)
=3+7+11+15+19
=55