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Chapter 12: Q. 207E (page 1213)

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

(3x-5)3

Short Answer

Expert verified

Expansion is27x3-135x2+225x-125

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle.

(3x-5)3

02

Solution

We have

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

The expansion is

(3x-5)3=1(3x)3+3(3x)2(-5)+3(3x)(-5)2+1(-5)3=27x3-135x2+225x-125

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