Multiple choice general knowledge math & puzzles

The expantion of (a+b)^6 is ________ (^ is Power)

  1. a^6+5a^6b+20a^3b^2+10a^2b^3+15a^5b^4+8ab^5+b^6+0a^1+0b^6

  2. a^6-5a^6b+20a^3b^2-10a^2b^3+15a^5b^4-8ab^5+b^6

  3. a^6+5a^5b+10a^4b^3+10a^3b^4+5ab^5+b^6

  4. a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

According to the Binomial Theorem, the coefficients for (a+b)^6 follow the 6th row of Pascal's Triangle: 1, 6, 15, 20, 15, 6, 1. Option 39352 correctly applies these coefficients and decreasing/increasing powers for a and b respectively.

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