(b) expansion for Hence (or otherwise) write down the form of the partial fraction x6 + x³ + 1 х8 — 1 without trying to solve for the resulting 8 constants. (First treat the denominator as a difference of two squares.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
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just b 

(a)
Show that (x2 + v2x + 1)(x² – V2x + 1) = x4 + 1.
|
(b)
expansion for
Hence (or otherwise) write down the form of the partial fraction
x6 + x³ + 1
x8 – 1
|
without trying to solve for the resulting 8 constants. (First treat the denominator as
a difference of two squares.)
Transcribed Image Text:(a) Show that (x2 + v2x + 1)(x² – V2x + 1) = x4 + 1. | (b) expansion for Hence (or otherwise) write down the form of the partial fraction x6 + x³ + 1 x8 – 1 | without trying to solve for the resulting 8 constants. (First treat the denominator as a difference of two squares.)
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