SOLUTION: Find the coefficient a of the given term in the expansion of the binomial. Binomial (x + 9)^12 Term ax^3

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Question 1179418: Find the coefficient a of the given term in the expansion of the binomial.
Binomial
(x + 9)^12
Term
ax^3

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Binomial

we need this term:


=
=

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
Find the coefficient a of the given term in the expansion of the binomial.
Binomial
(x + 9)^12
Term
ax^3
~~~~~~~~~~~~~~~

They want you determine the term with x^3,  ax^3,  in the binomial expansion


     = .


The term with x^3  is    =  = ,


so the coefficient "a" under the problem's question is  85232507580.      ANSWER

Solved.

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See the lessons
    - Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion
    - Remarkable identities for Binomial Coefficients
    - The Pascal's triangle
    - Solved problems on binomial coefficients
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic
"Binomial expansion, binomial coefficients, Pascal's triangle".


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