6) Use Binomial expression in the form (a + b)¹: (x-2)5 + 10(x - 2)4 + 40(x - 2)³ + 80(x - 2)² + 80(x − 2) + 32 Be sure to simplify as much as possible. (Hint: It would take a lot of work to expand each of the binomials in this problem. Instead, work backwards.) Theorem to write the following

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6) Use Binomial Theorem
to write the following expression in the form (a + b)":
4
(x - 2)5+10(x - 2)² + 40(x - 2)³ + 80(x - 2)² +80(x − 2) + 32
Be sure to simplify as much as possible. (Hint: It would take a lot of work to expand each of the binomials in this problem. Instead,
work
backwards.)
Transcribed Image Text:6) Use Binomial Theorem to write the following expression in the form (a + b)": 4 (x - 2)5+10(x - 2)² + 40(x - 2)³ + 80(x - 2)² +80(x − 2) + 32 Be sure to simplify as much as possible. (Hint: It would take a lot of work to expand each of the binomials in this problem. Instead, work backwards.)
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