# The expression 2 x ( x + 6 ) 4 − x 2 ( 4 ) ( x + 6 ) 3 ( x + 6 ) 8

### 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 1.4, Problem 76E
To determine

## To calculate: The expression 2x(x+6)4−x2(4)(x+6)3(x+6)8

Expert Solution

2x(x+6)4x2(4)(x+6)3(x+6)8=2x(6x)(x+6)5

### Explanation of Solution

Given information:

Given expression is 2x(x+6)4x2(4)(x+6)3(x+6)8

Consider the expression as 2x(x+6)4x2(4)(x+6)3(x+6)8

Now,

2x(x+6)4x2(4)(x+6)3(x+6)8=x(x+6)3(2(x+6)x(4))(x+6)8=x(2x+124x)(x+6)5=x(122x)(x+6)5=2x(6x)(x+6)5

Therefore, simplest form of the expression

2x(x+6)4x2(4)(x+6)3(x+6)8=2x(6x)(x+6)5

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