16Hit1600
Advanced MathMediumDifference of two squared binomials

Advanced Math practice question

If (x + 4)² − (x − 4)² = kx for all values of x, what is the value of k?

Answer: 16

(x² + 8x + 16) − (x² − 8x + 16) = 16x, so k = 16.

Common wrong answers

If you answered 0
0 forgets that the middle terms have opposite signs.
If you answered 8
8 is one of the two middle coefficients.
If you answered 32
32 adds the constants instead of cancelling them.

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