   Chapter 13.6, Problem 31E ### 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. 3 1 . The last two terms in the expansion of ( a 2 / 3 + a 1 / 3 ) 25

To determine

To find:

The last two terms in the expansion of (a2/3+a1/3)25

Explanation

Given:

The binomial expression (a2/3+a1/3)25

Approach:

Use the formula for expansion of given binomial expression to compute the last two terms.

Calculation:

The binomial expression can be expanded as

(a2/3+a1/3)25=k=025(25k)(a2/3)25k(a1/3)k

The last two terms in the expansion given above corresponds to k=24,25

So the last two terms are

(2524)

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