Answer:
- [tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]
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- x⁴ⁿ + x²ⁿ⁺¹ = x²ⁿ⁺¹(x²ⁿ⁻¹ + 1)
n is an odd integer, let n = 2m + 1
Then
- 2n - 1 = 2(2m + 1) - 1 = 4m + 2 - 1 = 4m + 1
- 2n + 1 = 2(2m + 1) + 1 = 4m + 2 + 1 = 4m + 3
- x²ⁿ⁺¹(x²ⁿ⁻¹ + 1) =
- [tex]x^{4m + 3}(x^{4m+1} + 1)[/tex] =
- [tex]x^{3}x^{4m}(x^{4m+1} + 1)[/tex]
