Question

分解因式-（a+1)^2-2(a^2-1)-(a-1)^2

Answer 1

-（a+1)^2-2(a^2-1)-(a-1)^2
=-[a^2+2a+1+2a^2-2+a^2-2a+1]
=-4a^2.
无弯孙需分解因式。敏闹冲
（a+1)^2-2(a^2-1)-(a-1)^2
=a^2+2a+1-2a^2+2-a^2+2a-1
=-2a^2+4a+2
=-2(a^2-2a-1)
=-2(a-1+√2）桥歼（a-1-√2）。

Answer 2

-(a+1)^2-2(a^2-1)-(a-1)^2=-（蠢扮逗带卖a+1)^2-2(a^2-1)-(a-1)^2=-（a+1)^2-(a^2-1)-(a^2-1)-(a-1)^2
=-（缺森a+1)[(a+1)+(a-1)]-(a-1)[(a+1)+(a-1)]=-(a+1)2a-(a-1)2a=-2a(a+1+a-1)=-4a²