Exercises 4951 will help you prepare for the material covered in the next section. Each exercise involves
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Exercises 49–51 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.
Describe the pattern for the sum of the exponents on the variables in each term.
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(a + b)¹ = a + b (a + b)² = a² + 2ab + b² (a + b)³ = a³ + 3a²b + 3ab² + b³ (a + b)² = a + 4a³b + 6a²b² + 4ab³ + b4 (a + b)³ = a³ + 5a¹b + 10a³b²+ 10a²b³ + 5ab4 + b³
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