/*! 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 8.72 Simplify53-935y3+3y35m4-2m3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q 8.72 (page 790)

Simplify

  1. 53-93
  2. 5y3+3y3
  3. 5m4-2m3

Short Answer

Expert verified

Part a. -43

Part b. 8y3

Part c.5m4-2m3

Step by step solution

01

Part (a) Step 1. Subtract the like radicals to simplify 

In the expression 53-93, the radicals are like. So we subtract the coefficients to get the simplified expression.

53-93=(5-9)3=-43

02

Part (b) Step 1. Add the like radicals to simplify  

In the expression 5y3+3y3, the radicals are like. So we add the coefficients to get the simplified expression.

5y3+3y3=(5+3)y3=8y3

03

Part (c) Step 1. Check the indices and the radicals 

In the given expression 5m4-2m3the radicals are the same but the indices are different. So they are not like radicals.

Since the radicals are not like so we cannot subtract them.

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

Use the Quotient Property to simplify square roots.

(a) 75r9s8

(b) 54a8b33

(c) 64c5d44

Explain how you know that

x105=x2

In the following exercise, write as a radical expression.

鈸�x12鈸�y13鈸�z14

Explain why -644is not a real number but -643 is.

In the following exercises, solve.

5x-6=8
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

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.