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Simplify. Express your answer as a single fraction in simplest form. \newlineuv45uv−25uv\frac{uv^4}{5uv} - \frac{2}{5uv}

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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. \newlineuv45uv−25uv\frac{uv^4}{5uv} - \frac{2}{5uv}
  1. Identify common denominator: uv45uv−25uv\frac{uv^4}{5uv} - \frac{2}{5uv}\newlineIdentify a common denominator to combine the fractions.\newlineThe common denominator is 5uv5uv.
  2. Combine fractions: uv45uv−25uv\frac{uv^4}{5uv} - \frac{2}{5uv}\newlineCombine the fractions over the common denominator.\newlineuv4−25uv\frac{uv^4 - 2}{5uv}
  3. Simplify fraction: (uv4−2)/5uv(uv^4 - 2)/5uv\newlineSimplify the fraction by canceling common factors if possible.\newlineIn this case, there is a common factor of uu in the numerator and denominator.\newline(v4−2/5v)(v^4 - 2/5v)

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