# The factor of the expression ( 1 + 1 x ) 2 − ( 1 − 1 x ) 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 110E
To determine

## To calculate: The factor of the expression (1+1x)2−(1−1x)2 .

Expert Solution

The factor of the expression (1+1x)2(11x)2 is 4x .

### Explanation of Solution

Given information:

The expression (1+1x)2(11x)2 .

Formula used:

The special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Calculation:

Consider the given expression (1+1x)2(11x)2 .

Recall the special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Here, the values of A and B are A=(1+1x) and B=(11x) .

(1+1x)2(11x)2=((1+1x)+(11x))((1+1x)(11x))=(1+1x+11x)(1+1x1+1x)=(2)(2x)=4x

Thus, the factor of expression (1+1x)2(11x)2 is 4x .

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