   # For Problems 21-24, to write the first four terms of the expansion. ( x + y ) 15 ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter
Section ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter A, Problem 21PE
Textbook Problem
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## For Problems 21-24, to write the first four terms of the expansion. ( x + y ) 15

To determine

To write:

First four terms of the expansion of (x+y)15.

### Explanation of Solution

The binomial expansion for (x+y)n is

xn+nxn1y+n(n1)2!.xn2y2+n(n1)(n2)3!xn3y3+........+yn

The exponents of x begin with the exponent of 15 and decrease term by term by 1 until the last term becomes 1, i.e. the exponent of x is 0.

The exponents of y begin with 0 and increase term by term by 1 until the last term contains the power of 15.

But, we need to write only first four terms of the expansion.

Therefore,

(x+y)15=x15+15x14y+15142!x13y2+1514133!x12y3

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