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Simplify. Express your answer as a single fraction in simplest form. \newlinec42−c5d4\frac{c^4}{2} - \frac{c^5d}{4}

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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. \newlinec42−c5d4\frac{c^4}{2} - \frac{c^5d}{4}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 22 and 44. The LCM is 44.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 22. This gives us 2×c44−c5d4\frac{2 \times c^4}{4} - \frac{c^5d}{4}.
  3. Rewrite with common denominator: Rewrite the expression with a common denominator. The new expression is (2c4−c5d)/4(2c^4 - c^5d)/4.
  4. Check for further simplification: Check if the expression can be simplified further. Since there are no common factors in the numerator that can be canceled with the denominator, the expression is already in its simplest form.

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