Multiple choice general knowledge math & puzzles

(A-B)^3

  1. A^3-B^3-3xAxB(A-B)

  2. A^3+B^3+3xAxB(A-B)

  3. A^3+B^3-3xAxB(A+B)

  4. A^3+B^3+3xAxB(A+B)
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A Correct answer
Explanation

The algebraic expansion of (A-B)^3 is A^3 - B^3 - 3AB(A-B). This can also be written as A^3 - 3A^2B + 3AB^2 - B^3. Option 407822 correctly represents the factored form of the subtraction terms.

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