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Compute the coefficient of xy4 in the expansion of (3x – 4y)7. -

Compute the coefficient of xy4 in the expansion of (3x – 4y)7. -

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

Recall that the binomial theorem states that for any integer n > 0 and variables x and y, then

 

n (x + y)" = > kyn-k. k=0 a. Compute the coefficient of x³y4 in the expansion of (3x – 4y)7. b. What is the constant coefficient of (x2 – 1/x)15? c. One can write (V3 + 2)50 in the form av3 + b for integers a and b. Given formulas for a and b in terms of binomial coefficients.
Transcribed Image Text:n (x + y)" = > kyn-k. k=0 a. Compute the coefficient of x³y4 in the expansion of (3x – 4y)7. b. What is the constant coefficient of (x2 – 1/x)15? c. One can write (V3 + 2)50 in the form av3 + b for integers a and b. Given formulas for a and b in terms of binomial coefficients.
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