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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

8 1 8 3 ■ Terms in a Binomial Expansion Find the indicated terms in the given binomial expansion.

Find the term containing A 6 in the expansion of ( A + 3 B ) 10 .

To determine

To find:

The term consisting of A6 in the expansion.

Explanation

Given:

The expression is,

(A+3B)10

Approach:

General term of the Binomial Expansion:

The rth term in the expansion of (a+b)n is given by,

(nnr)arbnr(1)

Calculation:

The term consisting of A6 is given by the formula for general term.

Substitute A for a, 3B for b, 10 for n, and 6 for r in equation (1).

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Chapter 13 Solutions

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