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Chapter 12: Q. 195E (page 1213)

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

(p+q)9

Short Answer

Expert verified

The expansion isp9+9p8q+36p7q2+84p6q3+126p5q4+126p4q5+84p3q6+36p2q7+9pq8+q9

Step by step solution

01

Given Information

Expand binomial using Pascal's Triangle.

(p+q)9

02

Solution

We have

The exponent is 9 hence tenth row need to be considered

The expansion is

(p+q)9=1p9+9p8q+36p7q2+84p6q3+126p5q4+126p4q5+84p3q6+36p2q7+9pq8+1q9=p9+9p8q+36p7q2+84p6q3+126p5q4+126p4q5+84p3q6+36p2q7+9pq8+q9

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