5
practice testMultiple Choice

Practice Test

Question 5 • Mathematics III

What are the coefficients for the binomial expansion of open paren A plus b close paren cubed ?

Answer
A
1 , 1
B
1 , 4 , 6 , 4 , 1
C
1 , 3 , 3 , 1
D
1 , 2 , 1

Explanation

For a binomial raised to the third power, the coefficients come from the third row of Pascal’s triangle: 1, 3, 3, 1. Thus (A + b)³ expands as A³ + 3A²b + 3Ab² + b³, so the correct choice is “1, 3, 3, 1.”

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