Scomporre i seguenti polinomi:

1) $\displaystyle x^4+2x^2+1=(x^2+1)^2$

2) $\displaystyle 4a^2-4a+1=(2a-1)^2$

3) $\displaystyle 16x^4+8x^2+1=(4x^2+1)^2$

4) $\displaystyle a^2-6a+9=(a-3)^2$

5) $\displaystyle \frac{25}{4}x^6-5x^3+1=\left(\frac{5}{2}x^3-1\right)^2$

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

7) $\displaystyle a^{4x}+2a^{2x+y}+a^{2y}=\left(a^{2x}+a^{y}\right)^2$