Advanced MathEasy–MediumDifference of two squared binomials
Advanced Math practice question
For every value of x, (4x − 1)² − (4x + 1)² = kx. What is the value of k?
Answer: -16
The squares share 16x² + 1; only the cross terms differ: −8x − (+8x) = −16x, so k = −16.
Common wrong answers
- If you answered 0
- The x² and constant terms cancel, but the cross terms add to −16x.
- If you answered 16
- The first square has the smaller cross term: −8x − 8x = −16x, negative.
- If you answered -8
- Each square contributes a cross term of size 8x; the difference doubles it.
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