BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 134E

  (a)

To determine

To calculate: The simplified form of the expression 52825272 .

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

To calculate: The simplified form of the expression 12221202 .

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

To calculate: The simplified form of the expression 1020210102 .

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

To calculate: The simplified form of the expression 7951 .

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

To calculate: The simplified form of the expression 9981002 .

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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