若m^2-2m=n^2-2n,且m≠n,求(m+n)^2

2025-04-30 23:06:14
推荐回答(1个)
回答1:

m^2-2m=n^2-2n

m²-2m-n²+2n=0
(m²-n²)-2(m-n)=0
(m+n)(m-n)-2(m-n)=0
(m+n-2)(m-n)=0
m+n=2 或m=n

(m+n)²=2²=4