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Simplify. Express your answer as a single fraction in simplest form. \newlinec2−8c55\frac{c}{2} - \frac{8c^5}{5}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinec2−8c55\frac{c}{2} - \frac{8c^5}{5}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 22 and 55. The LCM is 1010.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 55 and the second fraction by 22. This gives us (5c)/10−(16c5)/10(5c)/10 - (16c^5)/10.
  3. Simplify expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (5c−16c5)/10(5c - 16c^5)/10.

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