   Chapter 0.3, Problem 27E

Chapter
Section
Textbook Problem

In Exercises 23–30, factor each expression and simplify as much as possible. ( x 3 + 1 ) x + 1 − ( x 3 + 1 ) 2 x + 1

To determine

To calculate: The factors of the expression (x3+1)x+1(x3+1)2x+1 and write it in the simplest form.

Explanation

Given information:

The expression, (x3+1)x+1(x3+1)2x+1.

Formula used:

Steps to calculate the factors,

Step1: Factor out the common factor.

Step2: Simplify the remaining terms.

Calculation:

Consider the expression,

(x3+1)x+1(x3+1)2x+1

Rewrite the above expression as below,

(x3+1)x+1(x3+1)(x3+1)x+1

As both the term contains the term (x3+1)x+1. Thus, the common factor is (x3+1)x+1

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