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Chapter 12: Q. 201E (page 1213)

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


(z-3)5

Short Answer

Expert verified

Expansion isz5-15z4+90z3-270z2+405z-243

Step by step solution

01

Step 1. Given Information 

Expand binomial using Pascal's Triangle.

(z-3)5

02

Step 2. Solution

We have

Here the exponent is 5 hence we need to consider sixth row

The expansion is

(z-3)5=1z5+5z4(-3)+10z3(-3)2+10z2(-3)3+5z(-3)4+1(-3)5 =z5-15z4+90z3-270z2+405z-243

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