k⁵(k + 1) - (3 + k²)(k⁴ - 3k² + 9) = k⁶ + k⁵ - (27 + k⁶) = k⁶ + k⁵ - 27 - k⁶ = k⁵ - 27
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k⁵(k + 1) - (3 + k²)(k⁴ - 3k² + 9) = k⁶ + k⁵ - (27 + k⁶) = k⁶ + k⁵ - 27 - k⁶ = k⁵ - 27