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Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and simplify the result.

Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and simplify the result.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 6ECP
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Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of z, and simplify the result. (Hint: You may prove and use the expressions x = and y =
Transcribed Image Text:Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of z, and simplify the result. (Hint: You may prove and use the expressions x = and y =
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