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Chapter 12: Q. 208E (page 1213)

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

(2x+3y)3

Short Answer

Expert verified

Expansion is8x3+36x2y+54xy2+27y3

Step by step solution

01

Step 1. Given Information

Expand binomial using Pascal's Triangle.

(2x+3y)3

02

Step 2. Solution

We have

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

The expansion is

(2x+3y)3=1(2x)3+3(2x)2(3y)+3(2x)(3y)2+1(3y)3=8x3+36x2y+54xy2+27y3

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