Open in App
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Chapter 1: Chapter 1

Problem 16

Next question

Evaluate \(p=\\{(a-b)(a b+c)\\} /(c b-2 a)\) When \(a=+2, b=-1 / 2\), and \(c=-3\)

Short Answer

Expert verified
The expression \(p = \frac{(a-b)(ab+c)}{cb-2a}\) evaluates to \(p=-2\) when \(a=+2, b=-\frac{1}{2}\), and \(c=-3\).
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Try Premium for free

Over 22 million students worldwide already upgrade their learning with Vaia!

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Write down the given expression and variable values

The expression we are given is: \(p = \frac{(a-b)(ab+c)}{cb-2a}\) And the given values are: \(a = +2\), \(b = -\frac{1}{2}\), and \(c = -3\)

Step 2: Substitute the given values in the expression

Now, let's substitute the given values of a, b, and c into the expression for p: \(p = \frac{((2)-(-\frac{1}{2}))((2)(-\frac{1}{2})-(-3))}{(-3)(-\frac{1}{2})-2(2)}\)

Step 3: Simplify the expression

Let's simplify the expression step-by-step: 1. Simplify inside the parentheses first: \( p = \frac{(2 + \frac{1}{2})(2*(-\frac{1}{2})+3)}{-3*(-\frac{1}{2})-(2*2)}\) 2. Simplify the multiplication and addition within parentheses: \( p = \frac{(\frac{5}{2})(-1+3)}{\frac{3}{2}-4}\) 3. Continue simplifying within parentheses: \( p = \frac{(\frac{5}{2})(2)}{-\frac{5}{2}}\) 4. Simplify the fractions by cancelling out any common terms: \( p = \frac{(5)(2)}{(-5)}\)

Step 4: Compute the final value of p

Now, compute the final value of the expression: \( p = -2\) So, when \(a = +2\), \(b = -\frac{1}{2}\), and \(c = -3\), the expression evaluates to: \(p = -2\)

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 1

Express each of the following as a single term. (a) \(3 x^{2}+2 x^{2}-4 x^{2}\) (b) \(5 \mathrm{axy}^{2}-7 \mathrm{axy}^{2}-3 \mathrm{xy}^{2}\)
Chapter 1

Approximate: $\mathrm{A}=\\{\pi \times \sqrt{2} \times 2.17\\} /\left\\{(6.83)^{2}+(1.07)^{2}\right\\}$
Chapter 1

Evaluate \(2-\\{5+(2-3)+[2-(3-4)]\\}\)
Chapter 1

Use the field properties to derive the equation \(\mathrm{x}=5\) from the equation \(5 \mathrm{x}-3=2(\mathrm{x}+6)\).
Chapter 1

Find the quotient \(\mathrm{q}\) and remainder \(\mathrm{r}\) upon dividing 575 by 21 .
See all solutions

More chapters from the book ‘Algebra and Trigonometry’

See all chapters

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App
Create your free account now
Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Math

Mechanics Maths

Read Explanation
Math

Statistics

Read Explanation
Math

Calculus

Read Explanation
Math

Probability and Statistics

Read Explanation
Math

Geometry

Read Explanation
Math

Pure Maths

Read Explanation
View all explanations