Advanced MathMediumDifference of two squared binomials
Advanced Math practice question
For all values of x and y, (x + y)² − (x − y)² = kxy, where k is a constant. What is the value of k?
Answer: 4
(x + y)² − (x − y)² = (x² + 2xy + y²) − (x² − 2xy + y²) = 4xy.
Common wrong answers
- If you answered 0
- 0 assumes the two squares are equal.
- If you answered 2
- 2 counts only one of the 2xy terms.
- If you answered -4
- −4 subtracts in the wrong order.
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