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Simplify. Express your answer as a single fraction in simplest form. \newline9u23uv−23uv\frac{9u^2}{3uv} - \frac{2}{3uv}

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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. \newline9u23uv−23uv\frac{9u^2}{3uv} - \frac{2}{3uv}
  1. Identify common denominator: Identify the common denominator.\newlineBoth terms have the same denominator, which is 3uv3uv. There is no need to find a common denominator since they are already the same.
  2. Combine numerators: Combine the numerators over the common denominator.\newlineSince the denominators are the same, we can combine the numerators.\newline(9u2−2)/(3uv)(9u^2 - 2)/(3uv)
  3. Simplify numerator: Simplify the numerator.\newlineWe subtract 22 from 9u29u^2.\newline9u2−29u^2 - 2 remains as it is because there are no like terms to combine.
  4. Write final fraction: Write the final simplified fraction.\newlineThe expression is already simplified as much as possible.\newline(9u2−2)/(3uv)(9u^2 - 2)/(3uv)

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