# the simplest value of ( 3 + 1 4 ) ( 1 − 4 5 ) .

### 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 28E

(a)

To determine

## To find: the simplest value of (3+14)(1−45) .

Expert Solution

(3+14)(145)=118

### Explanation of Solution

Given information:

An expression is given as (3+14)(145) .

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.

(3+14)(145)

Now, simplify the expression as shown:

(3+14)(145)=34141542=1214542=11412=118

Here, the simplified value is 118 .

(b)

To determine

### To find: the simplest value of (12+13)(12−13) .

Expert Solution

(12+13)(1213)=536

### Explanation of Solution

Given information:

An expression is given as (12+13)(1213) .

Formula used:

Sum of two fraction ab and cd can be performed by

ab+cd=ab+cbbd

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.

Now, simplify the expression as shown:

(12+13)(1213)=13+1223131223=3+26326=5616=536

Here, the simplified value is 536 .

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