a(a^2+1)^2-4a^3因式分解,

问题描述:

a(a^2+1)^2-4a^3因式分解,

a(a^2+1)^2-4a^3
=a[(a^2+1)^2-4a^2]
=a(a^2+1-2a)(a^2+1+2a)
=a(a-1)^2(a+1)^2

a(a^2+1)^2-4a^3
=a[(a²+1)²-4a²]
=a(a²+1+2a)(a²+1-2a)
=a(a+1)²(a-1)²