100²-99²+98²-97²+96²-95²+94²-93²+92²-91²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 03:29:45
![100²-99²+98²-97²+96²-95²+94²-93²+92²-91²](/uploads/image/z/88655-23-5.jpg?t=100%26%23178%3B-99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%2B96%26%23178%3B-95%26%23178%3B%2B94%26%23178%3B-93%26%23178%3B%2B92%26%23178%3B-91%26%23178%3B)
100²-99²+98²-97²+96²-95²+94²-93²+92²-91²
100²-99²+98²-97²+96²-95²+94²-93²+92²-91²
100²-99²+98²-97²+96²-95²+94²-93²+92²-91²
100²-99²+98²-97²+96²-95²+94²-93²+92²-91²
=(100+99)x(100-99)+(98+97)x(98-97)+(96+95)x(96-95)+(94+93)x(94-93)+(92+91)x(92-91)
=100+99+98+97+96+95+94+93+92+91
=(100+91)×10÷2
=955
这个好像有公式哦,你找找
原式=(100-99)(100+99)+(98-97)(98+97)+(96-95)(96+95)+(94-93)(94+93)+(92-91)(92+91)
=100+99+98+97+96+95+94+93+92+91
=100+(99+91)+(98+92)+(97+93)+(96+94)+95
=195+190*4=955