Scomporre i seguenti polinomi:

1) $\displaystyle x^3-x^2+\frac{1}{3}x-\frac{1}{27}=\left(x-\frac{1}{3}\right)^3$

2) $\displaystyle a^3-6a^2+12a-8=(a-2)^3$

3) $\displaystyle 27a^6-54a^4+18a^2-8=(3a^2-2)^3$

4) $\displaystyle 0,125t^3-3t^2+24t-64=(0,5t-4)^3$

5) $\displaystyle x^{6n}-6x^{4n}+12x^{2n}-8=(x^{2n}-2)^3$

6) $\displaystyle a^{3x}+3a^{2x+2}+3a^{x+4}+a^6=(a^{x}+a^2)^3$