   Chapter 13.6, Problem 40E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 2 9 - 4 2 Terms of a Binomial Expansion Find the indicated terms in the expansion of the given binomial. 4 0 . The term containing y 3 in the expansion of ( 2 + y ) 12

To determine

To find:

The term containing y3 in the expansion of (2+y)12

Explanation

Given:

The binomial expression (2+y)12

Approach:

Use the formula for binomial expansion to compute the general term in the expansion and then set the power of y to 3 to find the term containing y3.

Calculation:

The binomial expression can be expanded as

(2+y)12=k=012(12k)(2)12k(y)k

The term containing to y3 has

k=3

So the term containing y3 is

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