1. 242y^4-200x^6
2. w^2+w-16
3. x^8-y^8
4. 4x^2+y^2
5. 6ax+3bx-2b-4a
6. 2x^2+8x+8
Thanks
And for the equation 30a^2bc+6abc-12
is the simplest form of that
6(5a^2bc+abc-2)
or can it can go simpler?
1. 242y^4-200x^6
2. w^2+w-16
3. x^8-y^8
4. 4x^2+y^2
5. 6ax+3bx-2b-4a
6. 2x^2+8x+8
Thanks
And for the equation 30a^2bc+6abc-12
is the simplest form of that
6(5a^2bc+abc-2)
or can it can go simpler?
$\displaystyle x^8-y^8 = (x^4+y^4)(x^4-y^4) = (x^4+y^4)(x^2+y^2)(x^2-y^2) = (x^4+y^4)(x^2+y^2)(x+y)(x-y)
$
as far as the quadratic expression $\displaystyle 14y^2 +31y-10$ , you can tell if it can be factored if its discriminant is a perfect square number ...
$\displaystyle 31^2 - 4(14)(-10) = 1521 = 39^2$ , so it will factor.