Advanced MathMediumDifference of squared binomials divided by x
Advanced Math practice question
For x ≠ 0, what is the value of [(x + 2)² − (x − 2)²]/x?
Answer: 8
(x + 2)² − (x − 2)² = 8x, and 8x/x = 8.
Common wrong answers
- If you answered 0
- 0 assumes the two squares are equal.
- If you answered 4
- 4 counts the cross terms once each instead of twice.
- If you answered 8x
- The x cancels; the result is a constant.
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