(1) x^n+1-6x^n+9x^n-1
= x^n-6x^n+9x^n+1-1
=4x^n
(2) x^4-13x^2y^2+36y^4
=(x²-4y²)(x²-9y²)
=(x+2)(x-2)(x+3)(x-3)
(3) (a^2-6a)^2+14(a^2-6a)+45
= (a^2-6a+5)(a^2-6a+9)
=(a-1)(a-5)(a-3)²
(1) x^n+1-6x^n+9x^n-1
= x^n-6x^n+9x^n+1-1
=4x^n
(2) x^4-13x^2y^2+36y^4
=(x²-4y²)(x²-9y²)
=(x+2)(x-2)(x+3)(x-3)
(3) (a^2-6a)^2+14(a^2-6a)+45
= (a^2-6a+5)(a^2-6a+9)
=(a-1)(a-5)(a-3)²