To divide (х^10-1) by (х^2-1), we can do long division:
х^2-1 | х^10 + 0x^9 + 0x^8 + 0x^7 + 0x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x - 1-(х^10 - х^8)
Therefore, (х^10-1) divided by (х^2-1) is equal to х^8 + x^6 + x^4 + x^2 + x + 1.
To divide (х^10-1) by (х^2-1), we can do long division:
х^8_______________
х^2-1 | х^10 + 0x^9 + 0x^8 + 0x^7 + 0x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2 + 0x - 1
0x^8 + 0x^7 + 0x^6 + 0x^5 + 0x^4 + 0x^3 + 0x^2-(х^10 - х^8)
-(0x^8 - x^2)
_______________
x^2 + 0x - 1
-(x^2 - 1)
_______________
0
Therefore, (х^10-1) divided by (х^2-1) is equal to х^8 + x^6 + x^4 + x^2 + x + 1.