Advanced MathVery hardSimplifying a cubic over a quadratic
Advanced Math practice question
For x ≠ 1 and x ≠ −1, which of the following is equivalent to (x³ − x)/(x² − 1)?
- A. xCorrect
- B. x²
- C. x − 1
- D. 1/x
Answer: A. x
x³ − x = x(x² − 1), so the fraction is x.
Why the other answers are wrong
- B. x²
- Dividing the exponents, not the expressions.
- C. x − 1
- Cancels incorrectly.
- D. 1/x
- Inverts the answer.
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