Advanced MathVery hardDividing two rational expressions
Advanced Math practice question
For x ≠ 2 and x ≠ −2, which of the following is equivalent to (x² − 4)/(x² + 4x + 4) ÷ (x − 2)/(x + 2)?
- A. 1Correct
- B. (x − 2)²
- C. (x + 2)²
- D. x
Answer: A. 1
(x² − 4)/(x + 2)² = (x − 2)/(x + 2); dividing by (x − 2)/(x + 2) gives 1.
Why the other answers are wrong
- B. (x − 2)²
- Multiplies instead of dividing and mishandles the square.
- C. (x + 2)²
- Forgets to cancel.
- D. x
- No x survives the cancellation.
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