16Hit1600
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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