# Whether the equation, 2 ( a b ) = 2 a 2 b is true for all the values of the variable.

### 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 98E
To determine

## Whether the equation, 2(ab)=2a2b is true for all the values of the variable.

Expert Solution

No, given equation 2(ab)=2a2b is not true for all the values of the variables.

### Explanation of Solution

Given information:

Given equation is 2(ab)=2a2b

Consider the given equation 2(ab)=2a2b

This equation can be re − written as,

2(ab)=ab

At a=b ,

Left side of the equation 2(ab)=2(aa)=2

And right side of the equation, ab=aa=1

Therefore, the equation 2(ab)=2a2b is not true for all the values of the variables.

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