/*! 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} Problem 79 Perform the indicated operations... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 79

Perform the indicated operations. Simplify the result, if possible. $$\left(\frac{1}{a^{3}-b^{3}} \cdot \frac{a c+a d-b c-b d}{1}\right)-\frac{c-d}{a^{2}+a b+b^{2}}$$

Short Answer

Expert verified
The simplified expression is \[\frac{a c+a d-b c-b d}{a^3-b^3} - \frac{c-d}{a^2+a b+b^2}\].

Step by step solution

01

Simplify First Fraction

We start by simplifying the first fraction. This involves dividing \((a c+a d-b c-b d)\) by 1. This just gives us \((a c+a d-b c-b d)\). So, the first fraction simplifies to \(\frac{a c+a d-b c-b d}{a^3-b^3}\).
02

Simplify Second Fraction

The second fraction is already in simplest form, so we can move to the next step.
03

Perform Subtraction

Now we just subtract our second fraction from the first. This gives us our final answer: \[\frac{a c+a d-b c-b d}{a^3-b^3} - \frac{c-d}{a^2+a b+b^2}\]

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

Rewrite each expression without absolute value bars. $$|-203|$$

Fill in each box to make the statement true. Find the exact value of \(\sqrt{13+\sqrt{2}+\frac{7}{3+\sqrt{2}}}\) without the use of a calculator.

This will help you prepare for the material covered in the next section. a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

$$\text { Factor completely.}$$ $$6 x^{4}+35 x^{2}-6$$

Explain how to factor the difference of two squares. Provide an example with your explanation.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Decision 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.