因式分解:(x^2+y^2)-(1+2xy)^2,a^n+2-8a^n+16a^n-2(n大于2,n为整数)

问题描述:

因式分解:(x^2+y^2)-(1+2xy)^2,a^n+2-8a^n+16a^n-2(n大于2,n为整数)

(x^2+y^2)-(1+2xy)^2
=x^2+y^2-1-4xy-4x^2y^2
是不是题目有误,不能继续分解
a^n+2-8a^n+16a^n-2
=a^n-2(a^4-8a^2+16)
=a^n-2(a^2-4)^2