a^2+b^2-c^2+2ab--------------- =a^2-b^2-c^2-2bc

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/14 08:53:36

a^2+b^2-c^2+2ab--------------- =a^2-b^2-c^2-2bc
a^2+b^2-c^2+2ab
--------------- =
a^2-b^2-c^2-2bc

a^2+b^2-c^2+2ab--------------- =a^2-b^2-c^2-2bc
a^2+b^2-c^2+2ab
--------------- =
a^2-b^2-c^2-2bc
=[(a+b)^2-c^2]/[a^2-(b+c)^2]
=(a+b+c)(a+b-c)/(a+b+c)(a-b-c)
=(a+b-c)/(a-b-c)

a^2+b^2-c^2+2ab =a^2-b^2-c^2-2bc
2b^2+2ab+2bc =0
a+b+c =0 (b≠0)