x^3+(2a+1)x^2+(a^2+2a-1)x+(a^2-1)分解因式_其他解答

x^3+(2a+1)x^2+(a^2+2a-1)x+(a^2-1)分解因式

人气：465 ℃　时间：2020-05-17 01:20:28

解答

X3+(2a+1)x2+(a2+2a-1)x+(a2-1)
=x3+2ax2+x2+a2x+2ax-x+a2-1
=x2(x+1)+2ax(x+1)+a2(x+1)-1
=(x+1)(x+a)2-1