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Simplify. Write your answer using whole numbers and variables.\newlineu2−uu−1\frac{u^2 - u}{u - 1}

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlineu2−uu−1\frac{u^2 - u}{u - 1}
  1. Write Expression: Write down the expression to be simplified.\newlineThe expression is (u2−u)/(u−1)(u^2 - u)/(u - 1).
  2. Factor Numerator: Factor the numerator.\newlineThe numerator u2−uu^2 - u can be factored by taking out the common factor uu. This gives us u(u−1)u(u - 1).
  3. Rewrite with Factored Numerator: Rewrite the expression with the factored numerator.\newlineThe expression now looks like (u(u−1))/(u−1)(u(u - 1))/(u - 1).
  4. Cancel Common Terms: Cancel out the common terms.\newlineThe term (u−1)(u - 1) is present in both the numerator and the denominator, so we can cancel it out. This leaves us with u1\frac{u}{1}, which simplifies to uu.
  5. Write Final Expression: Write down the final simplified expression.\newlineThe final simplified expression is uu.

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