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Simplify. Express your answer as a single fraction in simplest form. \newlinec3d5−c4d5\frac{c^3d}{5} - \frac{c^4d}{5}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinec3d5−c4d5\frac{c^3d}{5} - \frac{c^4d}{5}
  1. Identify common denominator: Identify the common denominator in the fractions. The fractions have the same denominator, which is 55.
  2. Subtract numerators: Since the denominators are the same, subtract the numerators. This gives us (c3d−c4d)/5(c^3d - c^4d)/5.
  3. Factor out common factor: Factor out the common factor in the numerator, which is c3dc^3d. This gives us c3d(1−c)5\frac{c^3d(1 - c)}{5}.
  4. No further simplifications: There are no further simplifications that can be made, so the expression is already in its simplest form.

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