Multiple choice general knowledge math & puzzles

(A+B)^3

  1. A^3+B^3+2AB(A+B)

  2. A^3+B^3+3AB(A+B)

  3. A^3+B^3+2AB(A^2+B^2)

  4. A^3+B^3+AB(A^2+B^2)

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The expansion of (A + B)³ is A³ + 3A²B + 3AB² + B³, which can be factored as A³ + B³ + 3AB(A + B). This is a standard algebraic identity. Option A incorrectly uses 2AB instead of 3AB, while options C and D have incorrect structures.