# the simplest value of 2 3 ( 6 − 3 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 1.1, Problem 27E

(a)

To determine

## To find: the simplest value of 23(6−32) .

Expert Solution

23(632)=3

### Explanation of Solution

Given information:

An expression is given as 23(632) .

Formula used:

Difference of two fraction ab and cd can be performed by

abcd=abcbbd

Product of two fraction ab and cd can be performed by

abcd=acbd

Calculation:

Consider the given expression.

23(632)

Now, simplify the expression as shown:

23(632)=232632=231292=2392=3

Here, the simplified value is 3 .

(b)

To determine

### To find: the simplest value of 0.25(89+12) .

Expert Solution

0.25(89+12)=2572

### Explanation of Solution

Given information:

An expression is given as 0.25(89+12) .

Formula used:

Sum of two fraction ab and cd can be performed by

ab+cd=ab+cbbd

Product of two fraction ab and cd can be performed by

abcd=acbd

Calculation:

Consider the given expression.

Now, simplify the expression as shown:

0.25(89+12)=0.2528+992=0.2516+918=0.252518=2572

Here, the simplified value is 2572 .

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