/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 305 In the following exercises, expa... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 305 (page 1220)

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

(2y-3)5

Short Answer

Expert verified

The expansion using pascal triangle is(2y-3)5=32y5-240y4+720y3-1080y2+810y-243

Step by step solution

01

Given information

Given the binomial expression(2y-3)5

02

Expand the expression

Expanding, we get

a=2y,b=-3n=5

(2y-3)5=(2y)5+-(2y)4(-3)1+-(3x)3(-3)2+-(3x)2(-3)3+-(3x)(-3)4+(-3)5

03

Drawing the pascal triangle

The pascal triangle is

04

Picking the coefficients and expanding

Picking the coefficient at the beginning 1,5and then 1,5,10,10,5,1

(2y-3)5=1路(2y)5+5路(2y)4(-3)1+10路(2y)3(-3)2+10路(2y)2(-3)3++5路(2y)(-3)4+1路(-3)5(2y-3)5=32y5-240y4+720y3-1080y2+810y-243(2y-3)5=32y5-240y4+720y3-1080y2+810y-243

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the coefficient of the x5 term of(x+4)8

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

(3x-1)5

Find the sum:鈭�i=1355i鈭�3

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=-4andr=-2

Expand the partial sum and find its value:鈭�k=032k!
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.