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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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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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