Advanced MathVery hardDifference of two squared binomials
Advanced Math practice question
Which of the following is equivalent to (x − 2)² − (x + 2)² for all values of x?
- A. −8xCorrect
- B. 8x
- C. 0
- D. 2x² − 8
Answer: A. −8x
(x² − 4x + 4) − (x² + 4x + 4) = −8x.
Why the other answers are wrong
- B. 8x
- Sign error: the first square has the smaller middle term.
- C. 0
- The squares differ in their middle terms.
- D. 2x² − 8
- The x² terms cancel; they do not add.
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