(1)a的n+2次方+a的n+1次方-3a的n次方
=a^n(a^2+a-3)
(2)9m的平方-n的平方+3m-n
=(9m^2-n^2)+(3m-n)
=(3m+n)(3m-n)+(3m-n)
=(3m-n)(3m+n+1)
(3)x的4次方-(2x-1)的平方
=[x^2-(2x-1)][x^2+(2x-1)]
=(x^2-2x+1)(x^2+2x-1)
=(x-1)^2(x^2+2x-1)
(4)(a+b)的平方+4(a+b+1)
=(a+b)^2+4(a+b)+4
=[(a+b)+2]^2
=(a+b+2)^2