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Simplify. Express your answer as a single fraction in simplest form. \newline3b3−b23\frac{3b}{3} - \frac{b^2}{3}

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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. \newline3b3−b23\frac{3b}{3} - \frac{b^2}{3}
  1. Identify common denominator: 3b3−b23\frac{3b}{3} - \frac{b^2}{3}\newlineIdentify that both terms have the same denominator.
  2. Combine terms over denominator: 3b3−b23\frac{3b}{3} - \frac{b^2}{3}\newlineCombine the terms over the common denominator.\newline(3b−b23)(\frac{3b - b^2}{3})
  3. Factor out common bb: 3b3−b23\frac{3b}{3} - \frac{b^2}{3}\newlineSimplify the numerator by factoring out a common bb.\newlineb(3−b)3\frac{b(3 - b)}{3}
  4. Check for simplest form: b(3−b)/3b(3 - b)/3\newlineSince there are no common factors between the numerator and the denominator, the fraction is already in simplest form.

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