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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

Respuesta :

kudzordzifrancis

Answer:

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

Step-by-step explanation:

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

Ver imagen kudzordzifrancis

The answer is D

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

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