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)?
- A. 2xyCorrect
- B. 0
- C. xy
- 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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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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