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Simplify. Express your answer as a single fraction in simplest form. \newline2z33+13\frac{2z^3}{3} + \frac{1}{3}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline2z33+13\frac{2z^3}{3} + \frac{1}{3}
  1. Identify common denominator: Identify the common denominator.\newlineBoth terms have the same denominator, which is 33. This means we can combine the numerators directly.
  2. Combine numerators: Combine the numerators. Add the numerators while keeping the common denominator. (2z3+1)/3(2z^3 + 1)/3
  3. Check for further simplification: Check if the fraction can be simplified further.\newlineThe numerator 2z3+12z^3 + 1 does not have any common factors with the denominator 33, and the terms in the numerator do not share any common factors either. Therefore, the fraction is already in its simplest form.

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