   Chapter 13.6, Problem 15E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS5-16 ■ Pascal’s Triangle Use Pascal’s triangle to expand the expression. ( 1 x − x ) 5

To determine

To find:

The expansion of the expression (1xx)5 using Pascal’s triangle.

Explanation

Approach:

In the expansion of the expression (a+b)n, there will be (n+1) terms. The first term will be an and last term will be bn. The power of a decrease by 1 from term to term and the power of b increase by 1 from term to term. The sum the power of a and the power of b will be n in all the terms. In each term there is one coefficient and that can be written with the help of Pascal’s triangle.

Calculation:

The Pascal’s triangle for the coefficients in the expansion of (a+b)n is as follows,

Therefore, the expansion of the expression (1xx)5 is as follows,

(1xx)5=(1x)5+5(1x)4(x)+10(1</

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