16Hit1600
Advanced MathEasy–MediumDifference between a squared sum and a sum of squares

Advanced Math practice question

Which of the following is equivalent to (x + y)² − (x² + y²)?

  1. A. 2xyCorrect
  2. B. 0
  3. C. xy
  4. D. 2x + 2y

Answer: A. 2xy

(x + y)² = x² + 2xy + y²; subtracting x² + y² leaves 2xy.

Why the other answers are wrong

B. 0
(x + y)² is not x² + y².
C. xy
The middle term is 2xy, not xy.
D. 2x + 2y
The leftover is a product, not a sum.

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