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Question 4 Consider the expansion of (x + y)' shown in part a below. a. The coefficients of three terms in the expansion are missing. Insert the missing coefficients, "C,, in front of the terms. (x + y)² = °C, x°»° + °G;\x²y³ +_ _ _]\x?_v² + xy + °Gx²Y* + G₂x²y³ + xy +Gxy b. Hence show that the sum of the coefficients in the expansion above equals 27. c. Write down the first three terms and the last three terms of the expansion of (x + y) where n is a natural number greater than 2.

Question 4 Consider the expansion of (x + y)' shown in part a below. a. The coefficients of three terms in the expansion are missing. Insert the missing coefficients, "C,, in front of the terms. (x + y)² = °C, x°»° + °G;\x²y³ +_ _ _]\x?_v² + xy + °Gx²Y* + G₂x²y³ + xy +Gxy b. Hence show that the sum of the coefficients in the expansion above equals 27. c. Write down the first three terms and the last three terms of the expansion of (x + y) where n is a natural number greater than 2.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 4 Consider the expansion of (x+y)' shown in part a below. a. The coefficients of three terms in the expansion are missing. Insert the missing coefficients, "C,, in front of the terms. (x + y)² = °C ₂ x²\x³° + °G₁x²³1 ² +_ _ _\x³²x² + x³ + ₂x²y* + G₂x³ + x² + x³y² b. Hence show that the sum of the coefficients in the expansion above equals 2¹. c. Write down the first three terms and the last three terms of the expansion of (x + y) where n is a natural number greater than 2.
Transcribed Image Text:Question 4 Consider the expansion of (x+y)' shown in part a below. a. The coefficients of three terms in the expansion are missing. Insert the missing coefficients, "C,, in front of the terms. (x + y)² = °C ₂ x²\x³° + °G₁x²³1 ² +_ _ _\x³²x² + x³ + ₂x²y* + G₂x³ + x² + x³y² b. Hence show that the sum of the coefficients in the expansion above equals 2¹. c. Write down the first three terms and the last three terms of the expansion of (x + y) where n is a natural number greater than 2.
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