Question

Each answer choice below shows the entries in a row of Pascal’s triangle. Which lists the coefficients in the binomial expansion of (a + b)8?

A)1, 7, 21, 35, 21, 7, 1


B)1, 7, 21, 35, 35, 21, 7, 1


C)1, 8, 28, 56, 70, 70, 56, 28, 8, 1


D)1, 8, 28, 56, 70, 56, 28, 8, 1

Answer 1

The answer is D

1, 8, 28, 56, 70, 56, 28, 8, 1

Answer 2

D)1, 8, 28, 56, 70, 56, 28, 8, 1

Explanation:

• The Pascal's triangle is shown in the attachment
• It is generated by repeating 1s at the extremes which are the coefficients of
  `a` and
  `b` in the binomial
  `(a+b)^n`.
• The remaining entries are obtained by adding the two entries directly above it.
• From the attachment, the coefficients of
  `(a+b)^8` are the entries in the last row of the triangular pattern.
• The correct choice is D.