分解因式:x^3+(2a+1)x^2 +(a^2+2a-1)x+a^2-1

2025-06-29 03:22:08
推荐回答(1个)
回答1:

x^3+(2a+1)x^2+(a^2+2a-1)x+a^2-1
=x^2(x+1)+2ax(x+1)+a^2(x+1)-(x+1)
=(x+1)*(x^2+2ax+a^2-1)
=(x+1)〔(x+a)^2-a^2+a^2-1〕
=(x+a)(x+a-1)(x+a+1)