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Simplify. Express your answer as a single fraction in simplest form. \newlinec3dd−2d\frac{c^3d}{d} - \frac{2}{d}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinec3dd−2d\frac{c^3d}{d} - \frac{2}{d}
  1. Identify LCM of denominators: Identify the least common multiple (LCM) of the denominators dd and dd. Since both denominators are the same, the LCM is dd.
  2. Combine numerators: Since the denominators are already the same, we can combine the numerators. This gives us (c3d−2)/d(c^3d - 2)/d.
  3. Simplify expression: Simplify the expression by combining like terms in the numerator. Since there are no like terms, the expression remains (c3d−2)/d(c^3d - 2)/d.
  4. Check for further simplification: Check if the fraction can be simplified further. In this case, the numerator and the denominator do not have any common factors other than 11, so the fraction is already in its simplest form.

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