Expand (x + y/sqrt[n] + z/n)^2

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the expansion of the expression (x + y/sqrt[n] + z/n)^2. Participants are clarifying whether this refers to a Taylor series expansion or simply multiplying the expression out.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses confusion about the expansion, suggesting it might involve Taylor's expansion.
  • Multiple participants clarify that the task is not about Taylor's expansion but rather about multiplying the expression out directly.
  • Participants provide the multiplication of the expression as a straightforward approach, emphasizing the simplicity of squaring the expression.

Areas of Agreement / Disagreement

Participants generally agree that the task is to multiply the expression out rather than perform a Taylor series expansion. However, the initial confusion about the nature of the expansion indicates some uncertainty.

Contextual Notes

There is a lack of consensus on the interpretation of the term "expand," which could lead to different approaches depending on the context in which the problem is presented.

Algernon81
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Hello,

I have come across this part of a question which has puzzled me.

Expand (x + y/sqrt[n] + z/n)^2

I assume it means Taylors, but could someone help me understand this?
 
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Not Taylor's expansion, they just mean to multiply it out:

(x + y/sqrt[n] + z/n) * (x + y/sqrt[n] + z/n) = x2 + . . .​
 


Redbelly98 said:
Not Taylor's expansion, they just mean to multiply it out:

(x + y/sqrt[n] + z/n) * (x + y/sqrt[n] + z/n) = ____?​

Ah, typical of me. I always look for the hardest way of doing things.

Thank you!
 


Not a taylor series - just square the whole thing.

<br /> \left(x + \frac y {\sqrt n} + \frac z n\right)^2 = \left(x + \frac y {\sqrt n} + \frac z n\right) \cdot \left(x + \frac y {\sqrt n} + \frac z n\right)<br />
 

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