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Simplify. Express your answer as a single fraction in simplest form. \newlinet42+32\frac{t^4}{2} + \frac{3}{2}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinet42+32\frac{t^4}{2} + \frac{3}{2}
  1. Identify common denominator: Identify the common denominator for the fractions. Both fractions have the same denominator, which is 22.
  2. Combine numerators: Since the denominators are the same, we can combine the numerators directly. Add the numerators t4/2 t^4/2 and 3/2 3/2 together.\newlineCalculation: t4/2+3/2=(t4+3)/2 t^4/2 + 3/2 = (t^4 + 3)/2
  3. Check for further simplification: Check if the resulting fraction can be simplified further. The numerator t4+3 t^4 + 3 does not have any common factors with the denominator 22, so the fraction is already in its simplest form.

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