   Chapter 0.3, Problem 23E

Chapter
Section
Textbook Problem

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

To determine

To calculate: The factors of the expression (x+1)(x+2)+(x+1)(x+3) and write it in the simplest form.

Explanation

Given information:

The expression (x+1)(x+2)+(x+1)(x+3).

Formula used:

Steps to calculate the factors,

Step1: Factor out the common factor.

Step2: Simplify the remaining terms.

Calculation:

Consider the expression,

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

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

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