Factorization; y ^ n-y ^ n-2 (n is a positive integer, and N is greater than 2 = how many Factorization: A ^ 4x ^ n + 2-4x ^ n (n is a positive integer) = what Factorization: 25A ^ n + 2-10a ^ n + 1 + A ^ n = what Factorization; a ^ 2n + 6A ^ NB ^ n + 9b ^ 2n = what

Factorization; y ^ n-y ^ n-2 (n is a positive integer, and N is greater than 2 = how many Factorization: A ^ 4x ^ n + 2-4x ^ n (n is a positive integer) = what Factorization: 25A ^ n + 2-10a ^ n + 1 + A ^ n = what Factorization; a ^ 2n + 6A ^ NB ^ n + 9b ^ 2n = what

y^n-y^n-2=y^(n-2)*(y^2-1)=(y+1)(y-1)*y^(n-2)
a^4x^n+2-4x^n=(a^4*x^2-4)*x^n=(a^2*x+2)(a^2*x-2)*x^n
25a^n+2-10a^n+1+a^n=(25a^2-10a+1)*a^n=(5a-1)^2*a^n
a^2n+6a^nb^n+9b^2n=(a^n+3b^n)^2

Factorization: (x ^ 2 + y ^ 2) - (1 + 2XY) ^ 2, a ^ n + 2-8a ^ n + 16A ^ n-2 (n is greater than 2, n is an integer)

（x^2+y^2)-(1+2xy)^2
=x^2+y^2-1-4xy-4x^2y^2
Is the title wrong, can't continue to decompose
a^n+2-8a^n+16a^n-2
=a^n-2(a^4-8a^2+16)
=a^n-2(a^2-4)^2

(1) Factorization: 2Y ^ n-y ^ n-2 (n is an integer and N > 2)=_________ (2) factorization: A ^ 4 * x ^ n + 2-4x ^ n (n is a positive integer)=________
(3) Factorization: A ^ 2-6a ^ n + 5A ^ n-2 (n > 2, and N is an integer)

(1) 2Y ^ n-y ^ (n-2) = y ^ (n-2) (2Y ^ 2-1) (extract y ^ (n-2)) (2) a ^ 4 * x ^ (n + 2) - 4x ^ n = x ^ (n + 2) (a ^ 4-4) (extract x ^ (n + 2)) (3) if n = 3, then a ^ 2-6a ^ n + 5A ^ n-2 = a ^ 2-6a ^ 3 + 5A = a (A-6A ^ 2 + 5) if n = 4, then a ^ 2-6a ^ n + 5A ^ 2 = a ^ 2-6a ^ 4 + 5A ^ 2 = 6A ^ 2 (1