Advanced MathHardSum of two squared binomials
Advanced Math practice question
Which expression is equivalent to (x − 2)² + (x + 2)²?
- A. 2x² + 8Correct
- B. 2x²
- C. 2x² + 8x + 8
- D. x² + 8
Answer: A. 2x² + 8
(x² − 4x + 4) + (x² + 4x + 4) = 2x² + 8; the middle terms cancel.
Why the other answers are wrong
- B. 2x²
- 2x² drops the constants 4 + 4.
- C. 2x² + 8x + 8
- 2x² + 8x + 8 adds the middle terms instead of letting them cancel.
- D. x² + 8
- x² + 8 forgets to add the two x² terms.
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