16Hit1600
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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