   Chapter 0.3, Problem 29E

Chapter
Section
Textbook Problem

In Exercises 23–30, factor each expression and simplify as much as possible. ( x + 1 ) 3 + ( x + 1 ) 5

To determine

To calculate: The factors of the expression (x+1)3+(x+1)5 and write it in the simplest form.

Explanation

Given information:

The expression, (x+1)3+(x+1)5.

Formula used:

Steps to calculate the factors,

Step1: Factor out the common factor.

Step2: Simplify the remaining terms.

Calculation:

Consider the expression,

(x+1)3+(x+1)5

Rewrite the above expression as below,

(x+1)3+(x+1)3(x+1)2

As both the term contains the term (x+1)3. Thus, the common factor is (x+1)3

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