/*! 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 217 Subtract聽6cc2-25-3c+5.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q 217 (page 954)

Subtract6cc2-25-3c+5.

Short Answer

Expert verified

The result is3c-5.

Step by step solution

01

Given Information   

The Given expression is6cc2-25-3c+5.

02

Find the LCD of denominators.   

Factor the denominators.

c2-25=(c+5)(c-5)

c+5=(c+5)

LCD=(c+5)(c-5)

Rewrite the expression in factored form.

=6c(c+5)(c-5)-3(c+5)

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=6c(c+5)(c-5)-3(c-5)(c+5)(c-5)

Simplify numerators.

=6c(c+5)(c-5)-3c-15(c+5)(c-5)

04

Subtract and simplify the numerator.  

Take common denominator.

=6c-(3c-15)(c+5)(c-5)

=6c-3c+15(c+5)(c-5)

Simplify numerator.

=3c+15(c+5)(c-5)

=3(c+5)(c+5)(c-5)

=3c-5

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

In the following exercises, solve

z16+z+24z=12z

Todd is traveling to Mexico and needs to exchange $450 into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?

In the following exercises, solve

b+33b+b24=1b

In the following exercises, simplify.

36v3w327vw3

In the following exercises, simplify.

12+3435+710
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Mechanics 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.