(321*321-123*123)/(543*543-345*345)要详细过程
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/08/07 05:09:58
(321*321-123*123)/(543*543-345*345)要详细过程
![(321*321-123*123)/(543*543-345*345)要详细过程](/uploads/image/z/4592048-32-8.jpg?t=%EF%BC%88321%2A321-123%2A123%EF%BC%89%2F%EF%BC%88543%2A543-345%2A345%EF%BC%89%E8%A6%81%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B)
原式=(222+99)²-(222-99)²/(444+99)²-(444-99)²
=【(222²+2*222*99+99²)-(222²-2*222*99+99²)】/【(444²+2*444*99+99²)-(444²-2*444*99+99²)】
=(222²+2*222*99+99²-222²+2*222*99-99²)/(444²+2*444*99+99²-444²+2*444*99-99²)
=(4*222*99)/(4*444*99)
=1/2
=【(222²+2*222*99+99²)-(222²-2*222*99+99²)】/【(444²+2*444*99+99²)-(444²-2*444*99+99²)】
=(222²+2*222*99+99²-222²+2*222*99-99²)/(444²+2*444*99+99²-444²+2*444*99-99²)
=(4*222*99)/(4*444*99)
=1/2