   Chapter 4.4, Problem 39PS

Chapter
Section
Textbook Problem

For Problems 1-40, perform the indicated operations, and express your answers in simplest form. (Objective 1) t + 3 3 t − 1 + 8 t 2 + 8 t + 2 3 t 2 − 7 t + 2 − 2 t + 3 t − 2

To determine

To Find:

The simplest expression of t+33t1+8t2+8t+23t27t+22t+3t2.

Explanation

Approach:

Rational expression, a quotient obtained by division of two polynomials in form of p(x,y)q(x,y) where p(x,y) and q(x,y) are polynomials in such a way that the variables x,y do not assume values such that q(x,y)=0.

If ab and cd are rational, then addition or subtraction of rational formed by multiplying them by appropriate expressions and equating the denominators using LCD and perform the operation as below:

And,

Same algebra is used for rational expression.

Calculation:

The given expression:t+33t1+8t2+8t+23t27t+22t+3t2.

Factorise the terms.

t+33t1+8t2+8t+23t27t+22t+3t2=t+33t1+8t2+8t+23t26tt+22t+3t2=t+33t1+8t2+8t+2t(3t1)2(3t1)2t+3t2=t+33t1+8t2+8t+2(3t1)(t2)2t+3t2

The LCD of the denominator is (3t1)(t2) where t13ort2.

Change each fraction into an equivalent fraction which has LCD as a denominator

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Prove that ddx(cotx)=csc2x.

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the integral. 45. x5ex3dx

Single Variable Calculus: Early Transcendentals

True or False: If , then converge absolutely.

Study Guide for Stewart's Multivariable Calculus, 8th

Using differentials, an approximation to (3.04)3 is: 28.094464 28.08 28.04 28

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 