(a+d+c-d)(a-b+c+d)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 02:18:18
(a+d+c-d)(a-b+c+d)=?

(a+d+c-d)(a-b+c+d)=?
(a+d+c-d)(a-b+c+d)=?

(a+d+c-d)(a-b+c+d)=?
(a+b+c-d)(a-b+c+d)
=[(a+c)+(b-d)][(a+c)-(b-d)]
=(a+c)²-(b-d)²
=a²+c²-2ac-b²-d²+2bd

(a+d+c-d)(a-b+c+d)
=[(a+c)+(b-d)] *[(a+c)-(b-d)]
=(a+c)²-(b-d)²

由题可知a=2,b=9.则原式=2的2次方-9的2次方=4-81=-79