What is the coefficient of x^{8}y^{9} in the expansion of (

Liesehf

Liesehf

Answered question

2021-11-21

What is the coefficient of
x8y9
in the expansion of
(3x+2y)17?

Answer & Explanation

Leory2000

Leory2000

Beginner2021-11-22Added 10 answers

Setp 1
Binomial theorem
(x+y)n={j=0}n nj xnjyj
We are interested in the term x8y9PSK(3x+2y)17
n=17
j=9
The coresponding term is then:
(n,j)(3x)nj(2y)j=(17,9)(3x)179(2y)9
=17!9!(179!)(3x)8(2y)9
=17!9!8!38x829y9
=243103829x8y9
=81,662,929,920x8y9
Thus the coefficient of x8y9is then 81, 662, 929, 920
So,
81, 662, 929, 920

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?