# For Problems 21-24, to write the first four terms of the expansion. ( x + y ) 12

### Intermediate Algebra

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

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter A, Problem 22PE
Textbook Problem
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## For Problems 21-24, to write the first four terms of the expansion. ( x + y ) 12

To determine

To write:

First four terms of the expansion of (x+y)12.

### 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 12 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 12.

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

Therefore,

(x+y)12=x12+12x11y+12112!x10y2+1211103!x9y3

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