BuyFind

Precalculus: Mathematics for Calcu...

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

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(11x)2 .

Expert Solution

Answer to Problem 110E

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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