FullSimplify[1-((q^(k+1) - 1)(q^k - 1)/(2(q-1)^2))t+q((q^k - 1)/(q-1))]FullSimplify[1-((q^(k+1) - 1)(q^k - 1)/(2(q-1)^2))t+q((q^k - 1)/(q-1))]

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