用因式分解法计算:2008²-2007×2009
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/17 13:02:41
用因式分解法计算:2008²-2007×2009
![用因式分解法计算:2008²-2007×2009](/uploads/image/z/8274701-29-1.jpg?t=%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E6%B3%95%E8%AE%A1%E7%AE%97%3A2008%26sup2%3B-2007%C3%972009)
2008² - 2007×2009
= 2008² - (2008 - 1)×(2008 + 1)
= 2008² - (2008² - 1)
= 2008² - 2008² + 1
= 1
= 2008² - (2008 - 1)×(2008 + 1)
= 2008² - (2008² - 1)
= 2008² - 2008² + 1
= 1