After the common factor of 2n + 1 power of polynomial X - n power of polynomial x is proposed, another factor is?

After the common factor of 2n + 1 power of polynomial X - n power of polynomial x is proposed, another factor is?


x^(2n -1)-x^n=x^n[x^(2n-1-n)-1]=x^n[x^(n-1)-1]
The other factor is x ^ (n-1) - 1



Decomposition factor: 3ax * 2 + 6AX + 3ay * 2; [a + B +] * 2-12 [a + b] + 36?


3ax*2+6axy+3ay*2
=3a(x²+2xy+y²)
=3a(x+y)²
【a+b+]*2-12[a+b]+36
=[a+b]²-12[a+b]+6²
=(a+b-6)²



-Factorization of 3ax ^ 2 + 6ax-3ay ^ 2


-3ax^2+6axy-3ay^2
=-3a(x²-2xy+y²)
=-3a(x-y)²



Decomposition factor: 3ax2-3ay4


3ax2-3ay4.=3a(x2-y4),=3a(x+y2)(x-y2).