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

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Add and subtract rational expressions

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{t^4}{2} + \frac{3}{2}

Identify common denominator: Identify the common denominator for the fractions. Both fractions have the same denominator, which is $2$ .
Combine numerators: Since the denominators are the same, we can combine the numerators directly. Add the numerators $t^4/2$ and $3/2$ together. $\newline$ Calculation: $t^4/2 + 3/2 = (t^4 + 3)/2$
Check for further simplification: Check if the resulting fraction can be simplified further. The numerator $t^4 + 3$ does not have any common factors with the denominator $2$ , so the fraction is already in its simplest form.

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