# The factoring of difference of squares.

### 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, Problem 9RCC

(a)

To determine

## To find: The factoring of difference of squares.

Expert Solution

### Explanation of Solution

Given:

(ab)2.

Concept used:

The y - coordinates of points :

(ab)2

(ab)2=a2+b22ab(ab)(ab)=a2+b22aba2+b2abab=a2+b22aba2+b22ab=a2+b22ab

(b)

To determine

Expert Solution

### Explanation of Solution

Given:

(ab)3.

Concept used:

The y - coordinates of points:

(ab)3

(ab)3=(ab)(ab)(ab)(ab)3=(a2+b2abab)(ab)(ab)3=(a2+b22ab)(ab)(ab)3=(a3a2b2a2b+2ab2+ab2b3)(ab)3=(a33a2b+3ab2b3)

(c)

To determine

Expert Solution

### Explanation of Solution

Given:

(a+b)3.

Concept used:

The y - coordinates of points:

(a+b)3

(a+b)3=(a+b)(a+b)(a+b)(a+b)3=(a2+b2+ab+ab)(a+b)(a+b)3=(a2+b2+2ab)(a+b)(a+b)3=(a3+a2b+2a2b+2ab2+ab2+b3)(a+b)3=(a3+3a2b+3ab2+b3)

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