计算(2a+b)(2a-b)-(a-b)^2= 分解因式a^2-1+b^2-2ab=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 21:37:02
计算(2a+b)(2a-b)-(a-b)^2= 分解因式a^2-1+b^2-2ab=

计算(2a+b)(2a-b)-(a-b)^2= 分解因式a^2-1+b^2-2ab=
计算(2a+b)(2a-b)-(a-b)^2= 分解因式a^2-1+b^2-2ab=

计算(2a+b)(2a-b)-(a-b)^2= 分解因式a^2-1+b^2-2ab=
(2a+b)(2a-b)-(a-b)^2
=4a²-b²-a²+2ab-b²
=3a²+2ab-2b²
分解因式a^2-1+b^2-2ab=
=(a²-2ab+b²)-1
=(a-b)²-1
=(a-b+1)(a-b-1)

(2a+b)(2a-b)-(a-b)^2=4a²-b²-a²-b²+2ab=3a²-2b²+2ab
a^2-1+b^2-2ab=a^2+b^2-2ab-1=(a-b)²-1=(a-b+1)(a-b-1)

(2a+b)(2a-b)-(a-b)^2
=4a²-b²-a²-b²+2ab
=3a²+2ab-2b²
a^2-1+b^2-2ab
=﹙a-b﹚²-1
=﹙a-b+1﹚﹙a-b-1﹚