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Chapter 11: Q. 202E (page 1069)

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

(z-2)6

Short Answer

Expert verified

Expansion isz6-12z5+60z4-160z3+240z2-192z+64

Step by step solution

01

Given Information 

Expand binomial using Pascal's Triangle.

(z-2)6

02

Solution

We have

Here the exponent is 6 hence we need to consider seventh row

The expansion is

(z-2)6=1z6+6z5(-2)+15z4(-2)2+20z3(-2)3+15z2(-2)4+6z(-2)5+1(-2)6=z6-12z5+60z4-160z3+240z2-192z+64

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