Find the expression of 1/(2+5x)3 , magnitude of 5x/2 < 1, in ascending powers of x up to and including the term in x2 , giving each coefficient  as a fraction in its lowest form

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 24E
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Find the expression of 1/(2+5x)3 , magnitude of 5x/2 < 1, in ascending powers of x up to and including the term in x2 , giving each coefficient  as a fraction in its lowest form

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