α的2次方减α的四次方 等于多少?

2025-12-13 06:46:35
推荐回答(2个)
回答1:

a^2-a^4
=a^2(-a^2-1)
=a^2(a^2-1)
=-[a^2-1+1](a+1)(a-1)
=-[(a-1)(a+1)+1](a-1)(a+1)
=-[(a-1)^2(a+1)^2+(a+1)(a-1)]
把(a+1)(a-1)提出来
=-{[(a+1)(a-1)](a+1)(a-1)+1}

回答2:

a^2-a^4
=(a+a²)(a-a²)
=(a+a²)(√a+a)(√a-a)