(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)因式分解法计算

(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)因式分解法计算
(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)因式分解法计算

(2²+4²+6²+8²+10²)-(1²+3²+5²+7²+9²)因式分解法计算
(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)
=1+2+3+4+···+9+10
=(1+10)×10/2
=55