# The simplified form of the expression 528 2 − 527 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 1.3, Problem 134E

(a)

To determine

Expert Solution

## Answer to Problem 134E

The simplified form of the expression 52825272 is 1055 .

### Explanation of Solution

Given information:

The expression 52825272 .

Formula used:

The difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Calculation:

Consider the expression 52825272 .

Recall that the difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Apply it,

52825272=(528+527)(528527)=1055(1)=1055

Thus, the simplified form of the expression 52825272 is 1055 .

(b)

To determine

Expert Solution

## Answer to Problem 134E

The simplified form of the expression 12221202 is 484 .

### Explanation of Solution

Given information:

The expression 12221202 .

Formula used:

The difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Calculation:

Consider the expression 12221202 .

Recall that the difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Apply it,

12221202=(122+120)(122120)=242(2)=484

Thus, the simplified form of the expression 12221202 is 484 .

(c)

To determine

Expert Solution

## Answer to Problem 134E

The simplified form of the expression 1020210102 is 20300 .

### Explanation of Solution

Given information:

The expression 1020210102 .

Formula used:

The difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Calculation:

Consider the expression 1020210102 .

Recall that the difference of square of two numbers a and b is a2b2=(a+b)(ab) .

Apply it,

1020210102=(1020+1010)(10201010)=2030(10)=20300

Thus, the simplified form of the expression 1020210102 is 20300 .

(d)

To determine

Expert Solution

## Answer to Problem 134E

The simplified form of the expression 7951 is 4029 .

### Explanation of Solution

Given information:

The expression 7951 .

Formula used:

The special product of two numbers a and b is (a+b)(ab)=a2b2 .

Calculation:

Consider the expression 7951 .

Recall that the special product of two numbers a and b is (a+b)(ab)=a2b2 .

Apply it,

7951=(801)51=80(51)1(51)=80(50+1)51=4000+(8051)

Simplify it further as,

7951=4000+(8051)=4000+29=4029

Thus, the simplified form of the expression 7951 is 4029 .

(e)

To determine

Expert Solution

## Answer to Problem 134E

The simplified form of the expression 9981002 is 999996 .

### Explanation of Solution

Given information:

The expression 9981002 .

Formula used:

The special product of two numbers a and b is (a+b)(ab)=a2b2 .

Calculation:

Consider the expression 9981002 .

Recall that the special product of two numbers a and b is (a+b)(ab)=a2b2 .

Apply it,

9981002=(10002)(1000+2)=1000222=10000004=999996

Thus, the simplified form of the expression 9981002 is 999996 .

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