4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the coefficient of b9 in (2 - b)¹⁹? c) What is the coefficient of a¹01699 in the expansion of (2a - 3b)200? 100 d) Give a formula for the coefficient of a* in the expansion of (a²-1) ¹0 where k € ZZ.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.6: Binomial Theorem
Problem 2SE: What role do binomial coefficients play in a binomial expansion? Are they restricted to any type of...
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QUESTION 4 (DISCRETE MATHS)

Based on the image attached, solve the questions with a clear steps of calculation. 

4. Solve the following Binomial problems:
a) Find the expansion of (a + b)²
b) What is the coefficient of b9 in (2 - b)¹⁹?
c) What is the coefficient of a¹01699 in the expansion of (2a - 3b)200?
100
d) Give a formula for the coefficient of a* in the expansion of (a²-1) ¹0
where k € Z.
Transcribed Image Text:4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the coefficient of b9 in (2 - b)¹⁹? c) What is the coefficient of a¹01699 in the expansion of (2a - 3b)200? 100 d) Give a formula for the coefficient of a* in the expansion of (a²-1) ¹0 where k € Z.
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