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Chapter 12: Q. 200E (page 1213)

In the following exercises, expand each binomial using Pascal's Triangle.

(y+1)7

Short Answer

Expert verified

Expansion isy7+7y6+21y5+35y4+35y3+21y2+7y+1

Step by step solution

01

Given Information 

Expand binomial using Pascal's Triangle.

(y+1)7

02

Solution

We have

Here the exponent is 7 hence we need to consider eighth row

The expansion is

(y+1)7=1y7+7y6路1+21y5路12+35y4路13+35y3路14+21y2路15+7y路16+1路17=y7+7y6+21y5+35y4+35y3+21y2+7y+1

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