Advanced MathMediumDifference of the squares of a sum and a difference
Advanced Math practice question
If ab = 6, what is the value of (a + b)² − (a − b)²?
Answer: 24
(a + b)² − (a − b)² = (a² + 2ab + b²) − (a² − 2ab + b²) = 4ab = 24.
Common wrong answers
- If you answered 0
- 0 assumes the two squares are equal.
- If you answered 6
- 6 is ab itself.
- If you answered 12
- 12 is 2ab, counting the middle term once.
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