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Simplify. Express your answer as a single fraction in simplest form. \newline7cd55c5\frac{7cd^5}{5} - \frac{c}{5}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline7cd55c5\frac{7cd^5}{5} - \frac{c}{5}
  1. Identify Common Denominator: Identify the common denominator for the fractions. In this case, both fractions already have the same denominator, which is 55.
  2. Subtract Numerators: Since the denominators are the same, subtract the numerators. This gives us (7cd5c)/5(7cd^5 - c)/5.
  3. Factor Out Common Factor: Look for common factors in the numerator that can be factored out. In this case, ' extit{c}' is a common factor in both terms of the numerator.
  4. Simplify Expression: Factor out the common factor cc from the numerator. This gives us c(7d51)5\frac{c(7d^5 - 1)}{5}.
  5. Check for Further Simplification: Check if the expression can be simplified further. Since there are no common factors between the numerator and the denominator, and the expression inside the parentheses cannot be simplified further, this is the simplest form.

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