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\frac{te^{\frac{t}{2}}+2e^{\frac{t}{2}}}{2}
Factoriza \frac{1}{2}.
e^{\frac{t}{2}}\left(t+2\right)
Considera te^{\frac{1}{2}t}+2e^{\frac{1}{2}t}. Factoriza e^{\frac{t}{2}}.
\frac{e^{\frac{t}{2}}\left(t+2\right)}{2}
Reescribe a expresión factorizada completa.