Solved: Exercises 4951 will help you prepare for the material covered in the next

Chapter 8, Problem 51

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Exercises 4951 will help you prepare for the material covered in the next section. Each exercise involves observing a pattern in the expanded form of the binomial expression (a + b) n . (a + b) 1 = a + b (a + b) 2 = a2 + 2ab + b2 (a + b) 3 = a3 + 3a2b + 3ab2 + b3 (a + b) 4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 (a + b) 5 = a5 + 5a4b + 10a3b2 + 10a2b3 + 5ab4 + b7 Describe the pattern for the sum of the exponents on the variables in each term.

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