   Chapter 13.CR, Problem 80E ### 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

# 7 7 − 8 0 ■ Binomial Expansion Expand the expression. ( 2 x + y ) 4

To determine

To find:

The expansion of the expression.

Explanation

Given:

The expression is,

(2x+y)4

Approach:

Binomial Theorem expansion is given by,

(a+b)n=(n0)an+(n1)an1b+...+(nn1)abn1+(nn)bn(1)

Calculation:

Compute the expansion of (a+b)4 and substitute 2x for a and y for b in the expression.

Use equation (1) to obtain the following,

(a+b)4=(40)a4+(41)a3b+(42)a2b2+(4

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