Can anyone help me with these 5 problems in factoring?

Question

Okay, i'm baffled here.. i can't seem to use the common techniques in factoring.

1. a^(2n+1) + a^(n+1) + a^(n+1)

2. x^4n - y^6n

3. 32a^2 + 12ab - 9b^2

4. t^2 + 8

5. 4y^3 - y^2 + 4y - 1

Even if you can only answer one or two of them, please do so.. i really need your help. Thanks!

Answer 1

(a^2 + 2)a^(n + 1)
(x^2n + y^3n)(x^2n - y^3n)
(8a - 3b)(4a + 3b)
t^2 + 8 not factorable
(4y - 1)(y^2 + 1)

Answer 2

Hey! Those are pretty challenging questions...
I managed to solve question 2.

2. x^4n - y^6n
= (x^2n)^2 - (y^3n)^2
= (x^2n + y^3n)(x^2n - y^3n)

Since both the powers are even, you can remove the power 2 from both values. You now have an a^2 - b^2 equation.
From here, you must seperate it into (a + b)(a - b).