   Chapter 9.7, Problem 28ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# In Example 9.7.5 it was shown that ( a + b ) 5 = a 5 + 5 a 4 b + 10 a 2 b 3 + 5 a b 4 + b 5. Evaluate ( a + b ) 6 by substituting the expression above into the equation ( a + b ) 6 = ( a + b ) ( a + b ) 5 and then multiplying out and combining like terms.

To determine

To evaluate (a+b)6 by substituting the expression (a+b)5=a5+5a4b+10a2b3+5ab4+b5 into the equation (a+b)6=(a+b)(a+b)5 and then multiplying out and combining like terms.

Explanation

Given information:

(a+b)5=a5+5a4b+10a2b3+5ab4+b5

(a+b)6=(a+b)(a+b)5

Calculation:

(a+b) 6 =(a+b) (a+b) 5 (a+b)6=(a+b)(a5+5a4b+10a2b3+5ab4+b5)(a+b)6=a6

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