# The common factor of the expression ( z + 2 ) 2 − 5 ( z + 2 ) .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.3, Problem 64E
To determine

## To calculate: The common factor of the expression (z+2)2−5(z+2) .

Expert Solution

The common factor of the expression (z+2)25(z+2) is (z+2)(z3) .

### Explanation of Solution

Given information:

The expression (z+2)25(z+2) .

Formula used:

To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Calculation:

Consider the given expression (z+2)25(z+2) .

Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Here, the two terms have the common factor (z+2) .

So, (z+2)25(z+2) can be written in simplified form as,

(z+2)25(z+2)=(z+2)(z+25)=(z+2)(z3)

Thus, the common factor of the expression (z+2)25(z+2) is (z+2)(z3) .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!