( a + b ) 2 , ( a − b ) 2 , ( a + b ) 3 , ( a − b ) 3 .

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 8RCC
To determine

To find:   (a+b)2,(a−b)2,(a+b)3,(a−b)3 .

Expert Solution

Explanation of Solution

Given:

(a+b)2,(ab)2,(a+b)3,(ab)3.

Concept used:

The y - coordinates of points :

(a+b)2,(ab)2,(a+b)3,(ab)3 .

(a+b)2=a2+b2+2ab(a+b)(a+b)=a2+b2+2aba2+b2+ab+ab=a2+b2+2aba2+b2+2ab=a2+b2+2ab(ab)2=a2+b22ab(ab)(ab)=a2+b22aba2+b2abab=a2+b22aba2+b22ab=a2+b22ab(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)(ab)3=(a3+3a2b3ab2+b3)

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