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Simplify. Express your answer as a single fraction in simplest form. \newlinetu3+u42\frac{tu}{3} + \frac{u^4}{2}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinetu3+u42\frac{tu}{3} + \frac{u^4}{2}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 33 and 22. The LCM is 66.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 22 and the second fraction by 33. This gives us 2tu6\frac{2tu}{6} + 3u46\frac{3u^4}{6}.
  3. Simplify the expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (2tu+3u4)/6(2tu + 3u^4)/6.

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