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Simplify. Express your answer as a single fraction in simplest form. \newline9c45−2c3\frac{9c^4}{5} - \frac{2c}{3}

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Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline9c45−2c3\frac{9c^4}{5} - \frac{2c}{3}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 55 and 33. The LCM is 1515.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 33 and the second fraction by 55. This gives us (9c4×3)/15−(2c×5)/15(9c^4 \times 3)/15 - (2c \times 5)/15.
  3. Perform multiplication in numerators: Perform the multiplication in the numerators. This results in (27c415)−(10c15)(\frac{27c^4}{15}) - (\frac{10c}{15}).
  4. Simplify the expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final expression is (27c4−10c)/15(27c^4 - 10c)/15.

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