# The factor of the expression x 2 + 12 x + 36 . ### 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 81E
To determine

## To calculate: The factor of the expression x2+12x+36 .

Expert Solution

The factor of the expression x2+12x+36 is (x+6)2 .

### Explanation of Solution

Given information:

The expression x2+12x+36 .

Formula used:

The special factoring formula of perfect square which is expressed as,

X2+2XY+Y2=(X+Y)2

Calculation:

Consider the given expression 1+1000y3 .

Rewrite it as,

x2+12x+36=(x)2+2(x)(6)+(6)2

Recall the special factoring formula of perfect square which is expressed as,

X2+2XY+Y2=(X+Y)2

Here, the values of X and Y are X=x and Y=6 .

x2+12x+36=(x)2+2(x)(6)+(6)2=(x+6)(x+6)=(x+6)2

Thus, the factor of expression x2+12x+36 is (x+6)2 .

### 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! 