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Chapter 12: Q. 204E (page 1213)

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

(4x-1)3

Short Answer

Expert verified

Expansion is64x3-48x2+12x-1

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle.

(4x-1)3

02

Solution

We have

Here the exponent is 3 hence we need to consider fourth row

The expansion is

(4x-1)3=1(4x)3+3(4x)2(-1)+3(4x)(-1)2+(-1)=64x3-48x2+12x-1

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